-
2
-
-
33751260933
-
A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids
-
A. Ammar, B. Mokdad, F. Chinesta, and R. Keunings. A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids. J. Non-Newtonian Fluid Mech., 139:153-176, 2006.
-
(2006)
J. Non-Newtonian Fluid Mech
, vol.139
, pp. 153-176
-
-
Ammar, A.1
Mokdad, B.2
Chinesta, F.3
Keunings, R.4
-
3
-
-
34249706773
-
A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex, part II: Transient simulation using space-time separated representations
-
A. Ammar, B. Mokdad, F. Chinesta, and R. Keunings. A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex, part II: Transient simulation using space-time separated representations. J. Non-Newtonian Fluid Mech., 144:98-121, 2007.
-
(2007)
J. Non-Newtonian Fluid Mech
, vol.144
, pp. 98-121
-
-
Ammar, A.1
Mokdad, B.2
Chinesta, F.3
Keunings, R.4
-
4
-
-
0010785740
-
-
Société Mafhématique de France, In French
-
C. Ané, S. Blachère, D. Chafaï, P. Fougères, I. Gentil, F. Malrieu, C. Roberto, and G. Scheffer. Sur les inégalités de Sobolev logarithmiques. Société Mafhématique de France, 2000. In French.
-
(2000)
Sur les inégalités de Sobolev logarithmiques
-
-
Ané, C.1
Blachère, S.2
Chafaï, D.3
Fougères, P.4
Gentil, I.5
Malrieu, F.6
Roberto, C.7
Scheffer, G.8
-
5
-
-
0002042431
-
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations
-
A. Arnold, P. Markowich, G. Toscani, and A. Unterreiter. On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Comm. Part. Diff. Eq., 26:43-100, 2001.
-
(2001)
Comm. Part. Diff. Eq
, vol.26
, pp. 43-100
-
-
Arnold, A.1
Markowich, P.2
Toscani, G.3
Unterreiter, A.4
-
6
-
-
0032216113
-
Mixed finite element methods for viscoelastic flow analysis: A review
-
F.P.T. Baaijens. Mixed finite element methods for viscoelastic flow analysis: a review. J. Non-Newtonian Fluid Mech., 79:361-385, 1998.
-
(1998)
J. Non-Newtonian Fluid Mech
, vol.79
, pp. 361-385
-
-
Baaijens, F.P.T.1
-
7
-
-
18844385711
-
Existence of global weak solutions for some polymeric flow models
-
J.W. Barrett, C. Schwab, and E. Süli. Existence of global weak solutions for some polymeric flow models. Math. Models and Methods in Applied Sciences, 15(6):939-983, 2005.
-
(2005)
Math. Models and Methods in Applied Sciences
, vol.15
, Issue.6
, pp. 939-983
-
-
Barrett, J.W.1
Schwab, C.2
Süli, E.3
-
8
-
-
39049139418
-
Existence of global weak solutions to kinetic models for dilute polymers
-
J.W. Barrett and E. Süli. Existence of global weak solutions to kinetic models for dilute polymers. Multiscale Model. Simul., 6(2):506-546, 2007.
-
(2007)
Multiscale Model. Simul
, vol.6
, Issue.2
, pp. 506-546
-
-
Barrett, J.W.1
Süli, E.2
-
9
-
-
34548050199
-
Probabilistic approximation of a nonlinear parabolic equation occuring in rheology
-
M. Ben Alaya and B. Jourdain. Probabilistic approximation of a nonlinear parabolic equation occuring in rheology. Journal of Applied Probability, 44(2):528-546, 2007.
-
(2007)
Journal of Applied Probability
, vol.44
, Issue.2
, pp. 528-546
-
-
Ben Alaya, M.1
Jourdain, B.2
-
10
-
-
78651540840
-
-
D. Bernardin. Introduction la rhéologie des fluides : approche macroscopique, 2003. Ecole de printemps, G.D.R. Matériaux vitreux, disponible http://www.lmcp.jussieu.fr/lmcp/GDR-verres/html/Rheologi\-l.pdf. In French.
-
D. Bernardin. Introduction la rhéologie des fluides : approche macroscopique, 2003. Ecole de printemps, G.D.R. Matériaux vitreux, disponible http://www.lmcp.jussieu.fr/lmcp/GDR-verres/html/Rheologi\-l.pdf. In French.
-
-
-
-
12
-
-
0003423425
-
-
Wiley Interscience
-
R.B. Bird, C.F. Curtiss, R.C. Armstrong, and O. Hassager. Dynamics of polymeric liquids, volume 2. Wiley Interscience, 1987.
-
(1987)
Dynamics of polymeric liquids
, vol.2
-
-
Bird, R.B.1
Curtiss, C.F.2
Armstrong, R.C.3
Hassager, O.4
-
13
-
-
0019028529
-
-
R.B. Bird, RJ. Dotson, and N.L. Johnson. Polymer solution rheology based on a finitely extensible bead-spring chain model. J. Non-Newtonian Fluid Mech., 7:213-235, 1980. Errata: J. Non-Newtonian Fluid Mech., 8:193 (1981).
-
R.B. Bird, RJ. Dotson, and N.L. Johnson. Polymer solution rheology based on a finitely extensible bead-spring chain model. J. Non-Newtonian Fluid Mech., 7:213-235, 1980. Errata: J. Non-Newtonian Fluid Mech., 8:193 (1981).
-
-
-
-
14
-
-
33751525715
-
Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows
-
A. Bonito, Ph. Clément, and M. Picasso. Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows. M2AN Math. Model. Numer. Anal., 40(4):785-814, 2006.
-
(2006)
M2AN Math. Model. Numer. Anal
, vol.40
, Issue.4
, pp. 785-814
-
-
Bonito, A.1
Clément, P.2
Picasso, M.3
-
15
-
-
33748531301
-
Mathematical analysis of a stochastic simplified Hookean dumbbells model arising from viscoelastic flow
-
A. Bonito, Ph. Clément, and M. Picasso. Mathematical analysis of a stochastic simplified Hookean dumbbells model arising from viscoelastic flow. J. Evol. Equ., 6(3): 381-398, 2006.
-
(2006)
J. Evol. Equ
, vol.6
, Issue.3
, pp. 381-398
-
-
Bonito, A.1
Clément, P.2
Picasso, M.3
-
16
-
-
0033567201
-
Variance reduction methods for CONNFFESSIT-like simulations
-
J. Bonvin and M. Picasso. Variance reduction methods for CONNFFESSIT-like simulations. J. Non-Newtonian Fluid Mech., 84:191-215, 1999.
-
(1999)
J. Non-Newtonian Fluid Mech
, vol.84
, pp. 191-215
-
-
Bonvin, J.1
Picasso, M.2
-
17
-
-
0035853424
-
GLS and EVSS methods for a three fields Stokes problem arising from viscoelastic flows
-
J. Bonvin, M. Picasso, and R. Sternberg. GLS and EVSS methods for a three fields Stokes problem arising from viscoelastic flows. Comp. Meth. Appl. Mech. Eng., 190:3893-3914, 2001.
-
(2001)
Comp. Meth. Appl. Mech. Eng
, vol.190
, pp. 3893-3914
-
-
Bonvin, J.1
Picasso, M.2
Sternberg, R.3
-
19
-
-
11144285789
-
A posteriori control of modeling errors and discretization errors
-
M. Braack and A. Ern. A posteriori control of modeling errors and discretization errors. Multiscale Model. Simul., l(2):221-238, 2003.
-
(2003)
Multiscale Model. Simul
, vol.50
, Issue.2
, pp. 221-238
-
-
Braack, M.1
Ern, A.2
-
21
-
-
33144465190
-
Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-Newtonian flows
-
E. Cancés, I. Catto, and Y. Gati. Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-Newtonian flows. SIAMJ. Math. Anal., 37:60-82, 2005.
-
(2005)
SIAMJ. Math. Anal
, vol.37
, pp. 60-82
-
-
Cancés, E.1
Catto, I.2
Gati, Y.3
-
22
-
-
33745282871
-
A micro-macro model describing Couette flows of concentrated suspensions
-
E. Cancés, I. Catto, Y. Gati, and C. Le Bris. A micro-macro model describing Couette flows of concentrated suspensions. Multiscale Model. Simul., 4:1041-1058, 2005.
-
(2005)
Multiscale Model. Simul
, vol.4
, pp. 1041-1058
-
-
Cancés, E.1
Catto, I.2
Gati, Y.3
Le Bris, C.4
-
24
-
-
0036453183
-
A new method for micro-macro simulations of viscoelastic flows
-
C. Chauviére. A new method for micro-macro simulations of viscoelastic flows. SIAM J. Sci. Comput., 23(6):2123-2140, 2002.
-
(2002)
SIAM J. Sci. Comput
, vol.23
, Issue.6
, pp. 2123-2140
-
-
Chauviére, C.1
-
25
-
-
0348146481
-
Simulation of dilute polymer solutions using a Fokker-Planck equation
-
C. Chauviére and A. Lozinski. Simulation of dilute polymer solutions using a Fokker-Planck equation. Computers and fluids, 33(5-6):687-696, 2004.
-
(2004)
Computers and fluids
, vol.33
, Issue.5-6
, pp. 687-696
-
-
Chauviére, C.1
Lozinski, A.2
-
27
-
-
33745419628
-
Nonlinear Fokker-Planck Navier-Stokes systems
-
P. Constantin. Nonlinear Fokker-Planck Navier-Stokes systems. Commun. Math. Sci., 3(4):531-544, 2005.
-
(2005)
Commun. Math. Sci
, vol.3
, Issue.4
, pp. 531-544
-
-
Constantin, P.1
-
28
-
-
33846847786
-
Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems
-
P. Constantin, C. Fefferman, A. Titi, and A. Zarnescu. Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Commun. Math. Phys., 270(3):789-811, 2007.
-
(2007)
Commun. Math. Phys
, vol.270
, Issue.3
, pp. 789-811
-
-
Constantin, P.1
Fefferman, C.2
Titi, A.3
Zarnescu, A.4
-
29
-
-
11844272821
-
Asymptotic states of a Smoluchowski equation
-
P. Constantin, I. Kevrekidis, and E.S. Titi. Asymptotic states of a Smoluchowski equation. Archive Rational Mech. Analysis, 174(3):365-384, 2004.
-
(2004)
Archive Rational Mech. Analysis
, vol.174
, Issue.3
, pp. 365-384
-
-
Constantin, P.1
Kevrekidis, I.2
Titi, E.S.3
-
30
-
-
2942666411
-
Remarks on a Smoluchowski equation
-
P. Constantin, I. Kevrekidis, and E.S. Titi. Remarks on a Smoluchowski equation. Disc, and Cont. Dyn. Syst., 11(1):101-112, 2004.
-
(2004)
Disc, and Cont. Dyn. Syst
, vol.11
, Issue.1
, pp. 101-112
-
-
Constantin, P.1
Kevrekidis, I.2
Titi, E.S.3
-
31
-
-
38049042966
-
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
-
P. Constantin and N. Masmoudi. Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Commun. Math. Phys., 278, 179-191, 2008.
-
(2008)
Commun. Math. Phys
, vol.278
, pp. 179-191
-
-
Constantin, P.1
Masmoudi, N.2
-
32
-
-
0036588839
-
Viscoelastic fluid models derived from kinetic equations for polymers
-
P. Degond, M. Lemou, and M. Picasso. Viscoelastic fluid models derived from kinetic equations for polymers. SIAM J. Appl. Math., 62(5): 1501-1519, 2002.
-
(2002)
SIAM J. Appl. Math
, vol.62
, Issue.5
, pp. 1501-1519
-
-
Degond, P.1
Lemou, M.2
Picasso, M.3
-
33
-
-
76249100571
-
Sparse tensor-product Fokker-Planck-based methods for nonlinear bead-spring chain models of dilute polymer solutions
-
P. Delaunay, A. Lozinski, and R.G. Owens. Sparse tensor-product Fokker-Planck-based methods for nonlinear bead-spring chain models of dilute polymer solutions. CRM Proceedings and Lecture Notes, Volume 41, 2007.
-
(2007)
CRM Proceedings and Lecture Notes
, vol.41
-
-
Delaunay, P.1
Lozinski, A.2
Owens, R.G.3
-
34
-
-
78651568656
-
Matière et désordre : Polymères, gels, verres
-
In French
-
F. Devreux. Matière et désordre : polymères, gels, verres. Cours de l'Ecole Polytechnique, 2000. In French.
-
(2000)
Cours de l'Ecole Polytechnique
-
-
Devreux, F.1
-
37
-
-
33646692641
-
FENE dumbbell model and its several linear and nonlinear closure approximations
-
Q. Du, C. Liu, and P. Yu. FENE dumbbell model and its several linear and nonlinear closure approximations. Multiscale Model. Simul., 4(3):709-731, 2005.
-
(2005)
Multiscale Model. Simul
, vol.4
, Issue.3
, pp. 709-731
-
-
Du, Q.1
Liu, C.2
Yu, P.3
-
38
-
-
2942644114
-
Convergence of a stochastic method for the modeling of polymeric fluids
-
W. E, T. Li, and P.W. Zhang. Convergence of a stochastic method for the modeling of polymeric fluids. Acta Mathematicae Applicatae Sinica, English Series, 18(4):529-536, 2002.
-
(2002)
Acta Mathematicae Applicatae Sinica, English Series
, vol.18
, Issue.4
, pp. 529-536
-
-
Li, W.E.T.1
Zhang, P.W.2
-
39
-
-
3242687156
-
Well-posedness for the dumbbell model of polymeric fluids
-
W. E, T. Li, and P.W. Zhang. Well-posedness for the dumbbell model of polymeric fluids. Commun. Math. Phys., 248:409-427, 2004.
-
(2004)
Commun. Math. Phys
, vol.248
, pp. 409-427
-
-
Li, W.E.T.1
Zhang, P.W.2
-
40
-
-
34047093819
-
Adaptive models for polymeric fluid flow simulation
-
A. Ern and T. Lelièvre. Adaptive models for polymeric fluid flow simulation. C. R. Acad. Sci. Paris, Ser. I, 344(7):473-476, 2007.
-
(2007)
C. R. Acad. Sci. Paris, Ser. I
, vol.344
, Issue.7
, pp. 473-476
-
-
Ern, A.1
Lelièvre, T.2
-
41
-
-
33750073202
-
Numerical simulations of pulsatile blood flow using a new constitutive model
-
J. Fang and R.G. Owens. Numerical simulations of pulsatile blood flow using a new constitutive model. Biorheology, 43:637-770, 2006.
-
(2006)
Biorheology
, vol.43
, pp. 637-770
-
-
Fang, J.1
Owens, R.G.2
-
42
-
-
8844269488
-
Constitutive laws for the matrix-logarithm of the conformation tensor
-
R. Fattal and R. Kupferman. Constitutive laws for the matrix-logarithm of the conformation tensor. J. Non-Newtonian Fluid Mech., 123:281-285, 2004.
-
(2004)
J. Non-Newtonian Fluid Mech
, vol.123
, pp. 281-285
-
-
Fattal, R.1
Kupferman, R.2
-
43
-
-
15344339745
-
Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation
-
R. Fattal and R. Kupferman. Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation. J. Non-Newtonian Fluid Mech., 126:23-37, 2005.
-
(2005)
J. Non-Newtonian Fluid Mech
, vol.126
, pp. 23-37
-
-
Fattal, R.1
Kupferman, R.2
-
44
-
-
4243123633
-
-
n (Part 4). Techniques of scientific computing (Part 4). Numerical methods of fluids (Part 2)., chapter Mathematical modeling and analysis of viscoelastic fluids of the Oldroyd kind, pages 543-661. Amsterdam: North Holland/Elsevier, 2002.
-
n (Part 4). Techniques of scientific computing (Part 4). Numerical methods of fluids (Part 2)., chapter Mathematical modeling and analysis of viscoelastic fluids of the Oldroyd kind, pages 543-661. Amsterdam: North Holland/Elsevier, 2002.
-
-
-
-
45
-
-
11444266806
-
The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: Finite shear rates
-
G. Forest, Q. Wang, and R. Zhou. The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: finite shear rates. Rheol. Acta, 44(l):80-93, 2004.
-
(2004)
Rheol. Acta
, vol.44
, Issue.L
, pp. 80-93
-
-
Forest, G.1
Wang, Q.2
Zhou, R.3
-
46
-
-
0024702169
-
A new approach for the FEM simulation of viscoelastic flows
-
M. Fortin and A. Fortin. A new approach for the FEM simulation of viscoelastic flows. J. Non-Newtonian Fluid Mech., 32:295-310, 1989.
-
(1989)
J. Non-Newtonian Fluid Mech
, vol.32
, pp. 295-310
-
-
Fortin, M.1
Fortin, A.2
-
48
-
-
0031994219
-
Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds
-
H. Gao and P. Klein. Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds. J. Mech. Phys. Solids, 46(2): 187-218, 1998.
-
(1998)
J. Mech. Phys. Solids
, vol.46
, Issue.2
, pp. 187-218
-
-
Gao, H.1
Klein, P.2
-
49
-
-
78651572274
-
-
Y. Gati. Modélisation mathématique et simulations numériques de fluides non new-toniens. PhD thesis, Ecole Nationale des Ponts et Chaussees, 2004. Available at http://pastel.paristech.org/883/01/ these.pdf. In French.
-
Y. Gati. Modélisation mathématique et simulations numériques de fluides non new-toniens. PhD thesis, Ecole Nationale des Ponts et Chaussees, 2004. Available at http://pastel.paristech.org/883/01/ these.pdf. In French.
-
-
-
-
50
-
-
18844458168
-
Fluid-structure interaction in blood flows on geometries coming from medical imaging
-
J.-F. Gerbeau, M. Vidrascu, and P. Frey. Fluid-structure interaction in blood flows on geometries coming from medical imaging. Computers and Structure, 83(2-3):155-165, 2005.
-
(2005)
Computers and Structure
, vol.83
, Issue.2-3
, pp. 155-165
-
-
Gerbeau, J.-F.1
Vidrascu, M.2
Frey, P.3
-
51
-
-
0020174460
-
A simple constitutive equation for polymeric fluids based on the concept of deformation-dependent tensorial mobility
-
H. Giesekus. A simple constitutive equation for polymeric fluids based on the concept of deformation-dependent tensorial mobility. J. Non-Newtonian Fluid Mech., 11:69-109, 1982.
-
(1982)
J. Non-Newtonian Fluid Mech
, vol.11
, pp. 69-109
-
-
Giesekus, H.1
-
52
-
-
0029379966
-
A new mixed finite element method for computing viscoelastic flows
-
R. Guénette and M. Fortin. A new mixed finite element method for computing viscoelastic flows. J. Non-Newtonian Fluid Mech., 60:27-52, 1999.
-
(1999)
J. Non-Newtonian Fluid Mech
, vol.60
, pp. 27-52
-
-
Guénette, R.1
Fortin, M.2
-
53
-
-
0000325280
-
Existence results for the flow of viscoelastic fluids with a differential constitutive law
-
C. Guillopé and J.C. Saut. Existence results for the flow of viscoelastic fluids with a differential constitutive law. Nonlinear Analysis, Theory, Methods & Appl., 15(9):849-869, 1990.
-
(1990)
Nonlinear Analysis, Theory, Methods & Appl
, vol.15
, Issue.9
, pp. 849-869
-
-
Guillopé, C.1
Saut, J.C.2
-
54
-
-
0001415885
-
Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
-
C. Guillopé and J.C. Saut. Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type. RAIRO Math. Model. Num. Anal., 24(3):369-401, 1990.
-
(1990)
RAIRO Math. Model. Num. Anal
, vol.24
, Issue.3
, pp. 369-401
-
-
Guillopé, C.1
Saut, J.C.2
-
57
-
-
0032215863
-
The Lagrangian particle method for macroscopic and micro-macro viscoelastic flow computations
-
P. Halin, G. Lielens, R. Keunings, and V. Legat. The Lagrangian particle method for macroscopic and micro-macro viscoelastic flow computations. J. Non-Newtonian Fluid Mech., 79:387-103, 1998.
-
(1998)
J. Non-Newtonian Fluid Mech
, vol.79
, pp. 387-103
-
-
Halin, P.1
Lielens, G.2
Keunings, R.3
Legat, V.4
-
58
-
-
0035439412
-
An algorithmic introduction to numerical simulation of stochastic differential equations
-
D.J. Higham. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Review, 43(3):525-546, 2001.
-
(2001)
SIAM Review
, vol.43
, Issue.3
, pp. 525-546
-
-
Higham, D.J.1
-
59
-
-
39049136069
-
New entropy estimates for the Oldroyd-B model, and related models
-
D. Hu and T. Lelièvre. New entropy estimates for the Oldroyd-B model, and related models. Communications in Mathematical Sciences, 5(4), 909-916, 2007.
-
(2007)
Communications in Mathematical Sciences
, vol.5
, Issue.4
, pp. 909-916
-
-
Hu, D.1
Lelièvre, T.2
-
60
-
-
18444412270
-
Flow of viscoelastic fluids past a cylinder at high Weissenberg number: Stabilized simulations using matrix logarithms
-
M.A. Hulsen, R. Fattal, and R. Kupferman. Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms. Journal of Non-Newtonian Fluid Mechanics, 127(l):27-39, 2005.
-
(2005)
Journal of Non-Newtonian Fluid Mechanics
, vol.127
, Issue.L
, pp. 27-39
-
-
Hulsen, M.A.1
Fattal, R.2
Kupferman, R.3
-
62
-
-
0000513814
-
Mode-coupling theory for the pasty rheology of soft glassy materials
-
P. Hébraud and F. Lequeux. Mode-coupling theory for the pasty rheology of soft glassy materials. Phys. Rev. Lett., 81:2934-2937, 1998.
-
(1998)
Phys. Rev. Lett
, vol.81
, pp. 2934-2937
-
-
Hébraud, P.1
Lequeux, F.2
-
63
-
-
7744234690
-
On a variance reduction technique for micro-macro simulations of polymeric fluids
-
B. Jourdain, C. Le Bris, and T. Lelièvre. On a variance reduction technique for micro-macro simulations of polymeric fluids. J. Non-Newtonian Fluid Mech., 122:91-106, 2004.
-
(2004)
J. Non-Newtonian Fluid Mech
, vol.122
, pp. 91-106
-
-
Jourdain, B.1
Le Bris, C.2
Lelièvre, T.3
-
64
-
-
78651557259
-
An elementary argument regarding the longtime behaviour of the solution to a stochastic differential equation
-
B. Jourdain, C. Le Bris, and T. Lelièvre. An elementary argument regarding the longtime behaviour of the solution to a stochastic differential equation. Annals of Craiova University, Mathematics and Computer Science series, 32:1-9, 2005.
-
(2005)
Annals of Craiova University, Mathematics and Computer Science series
, vol.32
, pp. 1-9
-
-
Jourdain, B.1
Le Bris, C.2
Lelièvre, T.3
-
65
-
-
33646682174
-
Long-time asymptotics of a multiscale model for polymeric fluid flows
-
B. Jourdain, C. Le Bris, T. Lelièvre, and F. Otto. Long-time asymptotics of a multiscale model for polymeric fluid flows. Archive for Rational Mechanics and Analysis, 181(1):97-148, 2006.
-
(2006)
Archive for Rational Mechanics and Analysis
, vol.181
, Issue.1
, pp. 97-148
-
-
Jourdain, B.1
Le Bris, C.2
Lelièvre, T.3
Otto, F.4
-
66
-
-
0346429825
-
Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids
-
I.M. Davies, N. Jacob, A. Truman, O. Hassan, K. Morgan, and N.P Weafherill, editors, World Scientific
-
B. Jourdain and T. Lelièvre. Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids. In I.M. Davies, N. Jacob, A. Truman, O. Hassan, K. Morgan, and N.P Weafherill, editors, Probabilistic Methods in Fluids Proceedings of the Swansea 2002 Workshop, pages 205-223. World Scientific, 2003.
-
(2003)
Probabilistic Methods in Fluids Proceedings of the Swansea 2002 Workshop
, pp. 205-223
-
-
Jourdain, B.1
Lelièvre, T.2
-
67
-
-
0036710134
-
Numerical analysis of micro-macro simulations of polymeric fluid flows: A simple case
-
B. Jourdain, T. Lelièvre, and C. Le Bris. Numerical analysis of micro-macro simulations of polymeric fluid flows: a simple case. Math. Models and Methods in Applied Sciences, 12(9): 1205-1243, 2002.
-
(2002)
Math. Models and Methods in Applied Sciences
, vol.12
, Issue.9
, pp. 1205-1243
-
-
Jourdain, B.1
Lelièvre, T.2
Le Bris, C.3
-
68
-
-
12144286593
-
Existence of solution for a micro-macro model of polymeric fluid: The FENE model
-
B. Jourdain, T. Lelièvre, and C. Le Bris. Existence of solution for a micro-macro model of polymeric fluid: the FENE model. Journal of Functional Analysis, 209:162-193, 2004.
-
(2004)
Journal of Functional Analysis
, vol.209
, pp. 162-193
-
-
Jourdain, B.1
Lelièvre, T.2
Le Bris, C.3
-
71
-
-
78651575338
-
-
R. Keunings. A survey of computational rheology. In D.M. Binding et al., editor, Proc. 13th Int. Congr. on Rheology, pages 7-14. British Society of Rheology, 2000.
-
R. Keunings. A survey of computational rheology. In D.M. Binding et al., editor, Proc. 13th Int. Congr. on Rheology, pages 7-14. British Society of Rheology, 2000.
-
-
-
-
72
-
-
78651545005
-
-
R. Keunings. Micro-macro methods for the multiscale simulation of viscoelastic flows using molecular models of kinetic theory. In D.M. Binding and K. Walters, editors, Rheology Reviews 2004. British Society of Rheology, 2004.
-
R. Keunings. Micro-macro methods for the multiscale simulation of viscoelastic flows using molecular models of kinetic theory. In D.M. Binding and K. Walters, editors, Rheology Reviews 2004. British Society of Rheology, 2004.
-
-
-
-
73
-
-
0003335723
-
Numerical Solution of Stochastic Differential Equations
-
of, Springer
-
RE. Kloeden and E. Platen. Numerical Solution of Stochastic Differential Equations, volume 23 of Applications of Mathematics. Springer, 1992.
-
(1992)
Applications of Mathematics
, vol.23
-
-
Kloeden, R.E.1
Platen, E.2
-
74
-
-
26444468123
-
Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations
-
Y. Kwon. Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations. Korea-Australia Rheology Journal, 16(4):183-191, 2004.
-
(2004)
Korea-Australia Rheology Journal
, vol.16
, Issue.4
, pp. 183-191
-
-
Kwon, Y.1
-
75
-
-
0027608224
-
Calculation of viscoelastic flow using molecular models : The CONNFFESSIT approach
-
M. Laso and H.C. Öttinger. Calculation of viscoelastic flow using molecular models : The CONNFFESSIT approach. J. Non-Newtonian Fluid Mech., 47:1-20, 1993.
-
(1993)
J. Non-Newtonian Fluid Mech
, vol.47
, pp. 1-20
-
-
Laso, M.1
Öttinger, H.C.2
-
76
-
-
0031128185
-
Two-dimensional, time-dependent viscoelastic flow calculations using CONNFFESSIT
-
M. Laso, M. Picasso, and H.C. Öttinger. Two-dimensional, time-dependent viscoelastic flow calculations using CONNFFESSIT. AIChEJ., 43:877-892, 1997.
-
(1997)
AIChEJ
, vol.43
, pp. 877-892
-
-
Laso, M.1
Picasso, M.2
Öttinger, H.C.3
-
77
-
-
78549289580
-
Systèmes multiechelles: Modélisation et simulation
-
of, Springer, In French
-
C. Le Bris. Systèmes multiechelles: modélisation et simulation, volume 47 of Mathématiques et Applications. Springer, 2005. In French.
-
(2005)
Mathématiques et Applications
, vol.47
-
-
Le Bris, C.1
-
79
-
-
46349102591
-
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients
-
C. Le Bris and P. L. Lions. Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Comm. Part. Diff. Eq., 33(7), 1272-1317, 2008.
-
(2008)
Comm. Part. Diff. Eq
, vol.33
, Issue.7
, pp. 1272-1317
-
-
Le Bris, C.1
Lions, P.L.2
-
80
-
-
28844496980
-
Apparent viscosity of a mixture of a Newtonian fluid and interacting particles
-
A. Lefebvre and B. Maury. Apparent viscosity of a mixture of a Newtonian fluid and interacting particles. Comptes Rendus Académie des Sciences, Mécanique, 333(12):923-933, 2005.
-
(2005)
Comptes Rendus Académie des Sciences, Mécanique
, vol.333
, Issue.12
, pp. 923-933
-
-
Lefebvre, A.1
Maury, B.2
-
81
-
-
0347516590
-
Optimal error estimate for the CONNFFESSIT approach in a simple case
-
T. Lelièvre. Optimal error estimate for the CONNFFESSIT approach in a simple case. Computers and Fluids, 33:815-820, 2004.
-
(2004)
Computers and Fluids
, vol.33
, pp. 815-820
-
-
Lelièvre, T.1
-
82
-
-
78651521611
-
-
T. Lelièvre. Problèmes mathématiques et numériques posés par la simulation d'écoulement de fluides polymériques. PhD thesis, Ecole Nationale des Ponts et Chaussées, 2004. Available at http://cermics.enpc.fr/~lelievre/rapports/ these . pdf. In French.
-
T. Lelièvre. Problèmes mathématiques et numériques posés par la simulation d'écoulement de fluides polymériques. PhD thesis, Ecole Nationale des Ponts et Chaussées, 2004. Available at http://cermics.enpc.fr/~lelievre/rapports/ these . pdf. In French.
-
-
-
-
83
-
-
2942679256
-
Local existence for the dumbbell model of polymeric fluids
-
T. Li, H. Zhang, and P.W. Zhang. Local existence for the dumbbell model of polymeric fluids. Comm. Part. Diff. Eq., 29(5-6):903-923, 2004.
-
(2004)
Comm. Part. Diff. Eq
, vol.29
, Issue.5-6
, pp. 903-923
-
-
Li, T.1
Zhang, H.2
Zhang, P.W.3
-
84
-
-
33751523664
-
Convergence analysis of BCF method for Hookean dumbbell model with finite difference scheme
-
T. Li and P.W. Zhang. Convergence analysis of BCF method for Hookean dumbbell model with finite difference scheme. SIAMMMS, 5(l):205-234, 2006.
-
(2006)
SIAMMMS
, vol.5
, Issue.L
, pp. 205-234
-
-
Li, T.1
Zhang, P.W.2
-
85
-
-
34248575233
-
Mathematical analysis of multi-scale models of complex fluids
-
T. Li and P.W. Zhang. Mathematical analysis of multi-scale models of complex fluids. Comm. Math. Sci., 5(1):1-51, 2007.
-
(2007)
Comm. Math. Sci
, vol.5
, Issue.1
, pp. 1-51
-
-
Li, T.1
Zhang, P.W.2
-
86
-
-
27844607354
-
On hydrodynamics of viscoelastic fluids
-
F.-H. Lin, C. Liu, and P.W. Zhang. On hydrodynamics of viscoelastic fluids. Comm. Pure Appl. Math., 58(11): 1437-1471, 2005.
-
(2005)
Comm. Pure Appl. Math
, vol.58
, Issue.11
, pp. 1437-1471
-
-
Lin, F.-H.1
Liu, C.2
Zhang, P.W.3
-
87
-
-
34247498198
-
On a micro-macro model for polymeric fluids near equilibrium
-
F.-H. Lin, C. Liu, and P.W. Zhang. On a micro-macro model for polymeric fluids near equilibrium. Comm. Pure Appl. Math., 60(6):838-866, 2007.
-
(2007)
Comm. Pure Appl. Math
, vol.60
, Issue.6
, pp. 838-866
-
-
Lin, F.-H.1
Liu, C.2
Zhang, P.W.3
-
88
-
-
36448949849
-
On the global existence of smooth solution to the 2-D FENE dumbbell model
-
F. Lin, P. Zhang and Z. Zhang. On the global existence of smooth solution to the 2-D FENE dumbbell model, Comm. Math. Phys., 277, 531-553, 2008.
-
(2008)
Comm. Math. Phys
, vol.277
, pp. 531-553
-
-
Lin, F.1
Zhang, P.2
Zhang, Z.3
-
89
-
-
0034381125
-
Global solutions for some Oldroyd models of non-Newtonian flows
-
PL. Lions and N. Masmoudi. Global solutions for some Oldroyd models of non-Newtonian flows. Chin. Ann. Math., Ser. B, 21(2):131-146, 2000.
-
(2000)
Chin. Ann. Math., Ser. B
, vol.21
, Issue.2
, pp. 131-146
-
-
Lions, P.L.1
Masmoudi, N.2
-
90
-
-
34447298371
-
Global existence of weak solutions to micro-macro models
-
PL. Lions and N. Masmoudi. Global existence of weak solutions to micro-macro models. C. R. Math. Acad. Sci., 345(1): 15-20, 2007.
-
(2007)
C. R. Math. Acad. Sci
, vol.345
, Issue.1
, pp. 15-20
-
-
Lions, P.L.1
Masmoudi, N.2
-
93
-
-
0042657876
-
A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations
-
A. Lozinski and C. Chauvière. A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations. J. Comp. Phys., 189(2):607-625, 2003.
-
(2003)
J. Comp. Phys
, vol.189
, Issue.2
, pp. 607-625
-
-
Lozinski, A.1
Chauvière, C.2
-
94
-
-
0035896045
-
Output bounds for reduced-order approximations of elliptic partial differential equations
-
L. Machiels, Y. Maday, and A.T. Patera. Output bounds for reduced-order approximations of elliptic partial differential equations. Comput. Methods Appl. Mech. Engrg., 190(26-27):3413-3426, 2001.
-
(2001)
Comput. Methods Appl. Mech. Engrg
, vol.190
, Issue.26-27
, pp. 3413-3426
-
-
Machiels, L.1
Maday, Y.2
Patera, A.T.3
-
96
-
-
0023452123
-
A new mixed finite element for calculating viscoelastic flows
-
J.M. Marchal and M J. Crochet. A new mixed finite element for calculating viscoelastic flows. J. Non-Newtonian Fluid Mech., 26:77-114, 1987.
-
(1987)
J. Non-Newtonian Fluid Mech
, vol.26
, pp. 77-114
-
-
Marchal, J.M.1
Crochet, M.J.2
-
97
-
-
55749083845
-
Well-posedness for the FENE dumbbell model of polymeric flows
-
N. Masmoudi. Well-posedness for the FENE dumbbell model of polymeric flows. Communications on Pure and Applied Mathematics, 61(12), 1685-1714, 2008.
-
(2008)
Communications on Pure and Applied Mathematics
, vol.61
, Issue.12
, pp. 1685-1714
-
-
Masmoudi, N.1
-
98
-
-
0035441643
-
Effect of spatial discretization schemes on numerical solutions of viscoelastic fluid flows
-
T. Min, J.Y Yoo, and H. Choi. Effect of spatial discretization schemes on numerical solutions of viscoelastic fluid flows. J. Non-Newtonian Fluid Mech., 100:27-47, 2001.
-
(2001)
J. Non-Newtonian Fluid Mech
, vol.100
, pp. 27-47
-
-
Min, T.1
Yoo, J.Y.2
Choi, H.3
-
99
-
-
0036865855
-
Estimation of modeling error in computational mechanics
-
J.T. Oden and S. Prudhomme. Estimation of modeling error in computational mechanics. J. Comput. Phys., 182:496-515, 2002.
-
(2002)
J. Comput. Phys
, vol.182
, pp. 496-515
-
-
Oden, J.T.1
Prudhomme, S.2
-
100
-
-
0003071531
-
Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials, i. error estimates and adaptive algorithms
-
J.T. Oden and K.S. Vemaganti. Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials, i. error estimates and adaptive algorithms. J. Comput. Phys., 164:22-47, 2000.
-
(2000)
J. Comput. Phys
, vol.164
, pp. 22-47
-
-
Oden, J.T.1
Vemaganti, K.S.2
-
101
-
-
78651556866
-
-
B. Øsendal. Stochastic differential equations. An introduction with applications. Springer, 2003.
-
B. Øsendal. Stochastic differential equations. An introduction with applications. Springer, 2003.
-
-
-
-
103
-
-
33750086438
-
A new microstructure-based constitutive model for human blood
-
R.G. Owens. A new microstructure-based constitutive model for human blood. J. Non-Newtonian Fluid Mech., 140:57-70, 2006.
-
(2006)
J. Non-Newtonian Fluid Mech
, vol.140
, pp. 57-70
-
-
Owens, R.G.1
-
105
-
-
0001081344
-
Hydrodynamics of macromolecules in a velocity field with longitudinal gradient
-
A. Peterlin. Hydrodynamics of macromolecules in a velocity field with longitudinal gradient. J. Polym. Sci. B, 4:287-291, 1966.
-
(1966)
J. Polym. Sci. B
, vol.4
, pp. 287-291
-
-
Peterlin, A.1
-
106
-
-
0017518270
-
A new constitutive equation derived from network theory
-
N. Phan-Thien and R.I. Tanner. A new constitutive equation derived from network theory. J. Non-Newtonian Fluid Mech., 2:353-365, 1977.
-
(1977)
J. Non-Newtonian Fluid Mech
, vol.2
, pp. 353-365
-
-
Phan-Thien, N.1
Tanner, R.I.2
-
107
-
-
67649671720
-
-
A. Quarteroni and L. Formaggia. Mathematical modelling and numerical simulation of the cardiovascular system., 12 of Handbook of Numerical Analysis, Chap. 1, pages 3-127. Elsevier, 2004. G. Ciarlet Ed. N. Ayache guest Ed.
-
A. Quarteroni and L. Formaggia. Mathematical modelling and numerical simulation of the cardiovascular system., volume 12 of Handbook of Numerical Analysis, Chap. 1, pages 3-127. Elsevier, 2004. G. Ciarlet Ed. N. Ayache guest Ed.
-
-
-
-
108
-
-
0037321283
-
Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation
-
S. Reese. Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation. International Journal of Solids and Structures, 40(4):951-980, 2003.
-
(2003)
International Journal of Solids and Structures
, vol.40
, Issue.4
, pp. 951-980
-
-
Reese, S.1
-
109
-
-
0037411479
-
A micromechanically motivated material model for the thermo-viscoelastic material behaviour of rubber-like polymers
-
S. Reese. A micromechanically motivated material model for the thermo-viscoelastic material behaviour of rubber-like polymers. International Journal of Plasticity, 19(7):909-940, 2003.
-
(2003)
International Journal of Plasticity
, vol.19
, Issue.7
, pp. 909-940
-
-
Reese, S.1
-
110
-
-
0346957816
-
Local existence of solutions of the Dirichlet initial-boundary value problem for incompressible hypoelastic materials
-
M. Renardy. Local existence of solutions of the Dirichlet initial-boundary value problem for incompressible hypoelastic materials. SIAM J. Math. Anal., 21(6):1369-1385, 1990.
-
(1990)
SIAM J. Math. Anal
, vol.21
, Issue.6
, pp. 1369-1385
-
-
Renardy, M.1
-
111
-
-
0005228558
-
An existence theorem for model equations resulting from kinetic theories of polymer solutions
-
M. Renardy. An existence theorem for model equations resulting from kinetic theories of polymer solutions. SIAM J. Math. Anal., 22:313-327, 1991.
-
(1991)
SIAM J. Math. Anal
, vol.22
, pp. 313-327
-
-
Renardy, M.1
-
114
-
-
19744369999
-
Diffusions, Markov Processes, and Martingales
-
Cambridge University Press
-
L.C.G. Rogers and D. Williams. Diffusions, Markov Processes, and Martingales, Volume 1: Foundations. Cambridge University Press, 2000.
-
(2000)
Foundations
, vol.1
-
-
Rogers, L.C.G.1
Williams, D.2
-
116
-
-
0032624499
-
Non integrable extra stress tensor solution for a flow in a bounded domain of an Oldroyd fluid
-
135(l-2):95-99
-
D. Sandri. Non integrable extra stress tensor solution for a flow in a bounded domain of an Oldroyd fluid. Acta Mech., 135(l-2):95-99, 1999.
-
(1999)
Acta Mech
-
-
Sandri, D.1
-
120
-
-
1342326246
-
Numerical solution of parabolic equations in high dimensions. M2ANMath
-
T. von Petersdorff and C. Schwab. Numerical solution of parabolic equations in high dimensions. M2ANMath. Model. Numer. Anal., 38(1):93-127, 2004.
-
(2004)
Model. Numer. Anal
, vol.38
, Issue.1
, pp. 93-127
-
-
von Petersdorff, T.1
Schwab, C.2
-
121
-
-
0034084835
-
The Backward-tracking Lagrangian Particle Method for transient viscoelastic flows
-
P. Wapperom, R. Keunings, and V. Legat. The Backward-tracking Lagrangian Particle Method for transient viscoelastic flows. J. Non-Newtonian Fluid Mech., 91:273-295, 2000.
-
(2000)
J. Non-Newtonian Fluid Mech
, vol.91
, pp. 273-295
-
-
Wapperom, P.1
Keunings, R.2
Legat, V.3
-
122
-
-
3042712390
-
A theoretical and numerical study for the rod-like model of a polymeric fluid
-
H. Zhang and P.W. Zhang. A theoretical and numerical study for the rod-like model of a polymeric fluid. Journal of Computational Mathematics, 22(2):319-330, 2004.
-
(2004)
Journal of Computational Mathematics
, vol.22
, Issue.2
, pp. 319-330
-
-
Zhang, H.1
Zhang, P.W.2
-
124
-
-
42649091095
-
Global existence of weak solutions to the regularized Hookean dumbbell model
-
L. Zhang, H. Zhang, and P. Zhang. Global existence of weak solutions to the regularized Hookean dumbbell model. Commun. Math. Sci., 6(1), 83-124, 2008.
-
(2008)
Commun. Math. Sci
, vol.6
, Issue.1
, pp. 83-124
-
-
Zhang, L.1
Zhang, H.2
Zhang, P.3
|