-
2
-
-
0003924563
-
-
Van Nostrand, Princeton, NJ Prepared for publication by B. Frank Jones Jr., with the assistance of George W. Batten Jr
-
Agmon S. Lectures on Elliptic Boundary Value Problems (1965), Van Nostrand, Princeton, NJ Prepared for publication by B. Frank Jones Jr., with the assistance of George W. Batten Jr
-
(1965)
Lectures on Elliptic Boundary Value Problems
-
-
Agmon, S.1
-
4
-
-
0036670631
-
Mathematics analysis for the rational large eddy simulation model
-
Berselli L.C., Galdi G.P., Iliescu T., and Layton W.J. Mathematics analysis for the rational large eddy simulation model. Math. Models Methods Appl. Sci. 12 8 (2002) 1131-1152
-
(2002)
Math. Models Methods Appl. Sci.
, vol.12
, Issue.8
, pp. 1131-1152
-
-
Berselli, L.C.1
Galdi, G.P.2
Iliescu, T.3
Layton, W.J.4
-
5
-
-
0026791799
-
Phenomenological behavior of multipolar viscous fluids
-
Bellout H., Bloom F., and Nečas J. Phenomenological behavior of multipolar viscous fluids. Quart. Appl. Math. 1 3 (1992) 559-583
-
(1992)
Quart. Appl. Math.
, vol.1
, Issue.3
, pp. 559-583
-
-
Bellout, H.1
Bloom, F.2
Nečas, J.3
-
6
-
-
0035069924
-
Fractional dispersion, Lévy motion, and the MADE tracer tests
-
Benson D.A., Schumer R., Meerschaert M.M., and Wheatcraft S.W. Fractional dispersion, Lévy motion, and the MADE tracer tests. Transp. Porous Media 42 (2001) 211-240
-
(2001)
Transp. Porous Media
, vol.42
, pp. 211-240
-
-
Benson, D.A.1
Schumer, R.2
Meerschaert, M.M.3
Wheatcraft, S.W.4
-
7
-
-
49149142420
-
Nonlinear Schrödinger evolution equations
-
Brézis H., and Gallouet T. Nonlinear Schrödinger evolution equations. Nonlinear Anal. 4 (1980) 677-681
-
(1980)
Nonlinear Anal.
, vol.4
, pp. 677-681
-
-
Brézis, H.1
Gallouet, T.2
-
8
-
-
28644438663
-
On the Clark-α model of turbulence: Global regularity and long-time dynamics
-
Cao C., Holm D.D., and Titi E.S. On the Clark-α model of turbulence: Global regularity and long-time dynamics. J. Turbul. 6 20 (2005) 1-11
-
(2005)
J. Turbul.
, vol.6
, Issue.20
, pp. 1-11
-
-
Cao, C.1
Holm, D.D.2
Titi, E.S.3
-
9
-
-
0001262719
-
Camassa-Holm equations as a closure model for turbulent channel and pipe flow
-
Chen S., Foias C., Holm D.D., Olson E., Titi E.S., and Wynne S. Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Phys. Rev. Lett. 81 (1998) 5338-5341
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 5338-5341
-
-
Chen, S.1
Foias, C.2
Holm, D.D.3
Olson, E.4
Titi, E.S.5
Wynne, S.6
-
10
-
-
0032614269
-
A connection between the Camassa-Holm equations and turbulent flows in channels and pipes
-
The International Conference on Turbulence (Los Alamos, NM, 1998)
-
Chen S., Foias C., Holm D.D., Olson E., Titi E.S., and Wynne S. A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. The International Conference on Turbulence (Los Alamos, NM, 1998). Phys. Fluids 11 (1999) 2343-2353
-
(1999)
Phys. Fluids
, vol.11
, pp. 2343-2353
-
-
Chen, S.1
Foias, C.2
Holm, D.D.3
Olson, E.4
Titi, E.S.5
Wynne, S.6
-
11
-
-
0039964945
-
The Camassa-Holm equations and turbulence
-
Predictability: Quantifying uncertainty in models of complex phenomena (Los Alamos, NM, 1998)
-
Chen S., Foias C., Holm D.D., Olson E., Titi E.S., and Wynne S. The Camassa-Holm equations and turbulence. Predictability: Quantifying uncertainty in models of complex phenomena (Los Alamos, NM, 1998). Physica D 133 (1999) 49-65
-
(1999)
Physica D
, vol.133
, pp. 49-65
-
-
Chen, S.1
Foias, C.2
Holm, D.D.3
Olson, E.4
Titi, E.S.5
Wynne, S.6
-
12
-
-
0041152039
-
Direct numerical simulations of the Navier-Stokes alpha model
-
Chen S., Holm D.D., Margolin L.G., and Zhang R. Direct numerical simulations of the Navier-Stokes alpha model. Physica D 133 1-4 (1999) 66-83
-
(1999)
Physica D
, vol.133
, Issue.1-4
, pp. 66-83
-
-
Chen, S.1
Holm, D.D.2
Margolin, L.G.3
Zhang, R.4
-
13
-
-
0038053956
-
Turbulent boundary layer equations
-
Cheskidov A. Turbulent boundary layer equations. C. R. Math. Acad. Sci. Paris 334 (2002) 423-427
-
(2002)
C. R. Math. Acad. Sci. Paris
, vol.334
, pp. 423-427
-
-
Cheskidov, A.1
-
15
-
-
33847389498
-
-
A. Cheskidov, E. Olson, E.S. Titi, The Brandina model and other α turbulence closures: A comparison study, private communication
-
-
-
-
19
-
-
0028976767
-
Exponential decay rate of the power spectrum for solutions of the Navier-Stokes equations
-
Doering C.R., and Titi E.S. Exponential decay rate of the power spectrum for solutions of the Navier-Stokes equations. Phys. Fluids 7 6 (1995) 1384-1390
-
(1995)
Phys. Fluids
, vol.7
, Issue.6
, pp. 1384-1390
-
-
Doering, C.R.1
Titi, E.S.2
-
21
-
-
0029289811
-
Fluids of differential type, critical review and thermodynamic analysis
-
Dunn J.E., and Rajagopal K.R. Fluids of differential type, critical review and thermodynamic analysis. Int. J. Eng. Sci. 33 5 (1995) 689-729
-
(1995)
Int. J. Eng. Sci.
, vol.33
, Issue.5
, pp. 689-729
-
-
Dunn, J.E.1
Rajagopal, K.R.2
-
22
-
-
0002062139
-
Gevrey regularity for nonlinear analytic parabolic equations
-
Ferrari A.B., and Titi E.S. Gevrey regularity for nonlinear analytic parabolic equations. Comm. Partial Differential Equations 23 1-2 (1998) 1-16
-
(1998)
Comm. Partial Differential Equations
, vol.23
, Issue.1-2
, pp. 1-16
-
-
Ferrari, A.B.1
Titi, E.S.2
-
23
-
-
0035873331
-
The Navier-Stokes-alpha model of fluid turbulence
-
Foias C., Holm D.D., and Titi E.S. The Navier-Stokes-alpha model of fluid turbulence. Physica D 152-153 (2001) 505-519
-
(2001)
Physica D
, vol.152-153
, pp. 505-519
-
-
Foias, C.1
Holm, D.D.2
Titi, E.S.3
-
24
-
-
36749037534
-
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
-
Foias C., Holm D.D., and Titi E.S. The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. J. Dynam. Differential Equations 14 (2002) 1-35
-
(2002)
J. Dynam. Differential Equations
, vol.14
, pp. 1-35
-
-
Foias, C.1
Holm, D.D.2
Titi, E.S.3
-
25
-
-
0000263117
-
Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
-
Foias C., and Temam R. Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations. J. Math. Pures Appl. (9) 58 3 (1979) 339-368
-
(1979)
J. Math. Pures Appl. (9)
, vol.58
, Issue.3
, pp. 339-368
-
-
Foias, C.1
Temam, R.2
-
26
-
-
33746636159
-
Gevrey class regularity for the solutions of the Navier-Stokes equations
-
Foias C., and Temam R. Gevrey class regularity for the solutions of the Navier-Stokes equations. J. Funct. Anal. 87 2 (1989) 359-369
-
(1989)
J. Funct. Anal.
, vol.87
, Issue.2
, pp. 359-369
-
-
Foias, C.1
Temam, R.2
-
27
-
-
33847356199
-
-
B.J. Guerts, D.D. Holm, Leray simulation of turbulent shear layers, in: Adv. in Turbulence IX: Proc. 9th European Turbulence Conf. Barcelona: CIMNE, 2002, pp. 337-340
-
-
-
-
28
-
-
0037279812
-
Regularization modeling for large-eddy simulation
-
Guerts B.J., and Holm D.D. Regularization modeling for large-eddy simulation. Phys. Fluids 15 (2003) L13-L16
-
(2003)
Phys. Fluids
, vol.15
-
-
Guerts, B.J.1
Holm, D.D.2
-
29
-
-
0040951221
-
Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion. Predictability: Quantifying uncertainty in models of complex phenomena
-
Holm D.D. Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion. Predictability: Quantifying uncertainty in models of complex phenomena. Physica D 133 1-4 (1999) 215-269
-
(1999)
Physica D
, vol.133
, Issue.1-4
, pp. 215-269
-
-
Holm, D.D.1
-
30
-
-
0037174480
-
Kármán-Howarth theorem for the Lagrangian-averaged Navier-Stokes-alpha model of turbulence
-
Holm D.D. Kármán-Howarth theorem for the Lagrangian-averaged Navier-Stokes-alpha model of turbulence. J. Fluid Mech. 467 (2002) 205-214
-
(2002)
J. Fluid Mech.
, vol.467
, pp. 205-214
-
-
Holm, D.D.1
-
31
-
-
33748955253
-
The LANS-α model for computing turbulence: origins, results, and open problems
-
Holm D.D., Jeffery C., Kurien S., Livescu D., Taylor M.A., and Wingate B.A. The LANS-α model for computing turbulence: origins, results, and open problems. Los Alamos Sci. 29 (2005) 152-171
-
(2005)
Los Alamos Sci.
, vol.29
, pp. 152-171
-
-
Holm, D.D.1
Jeffery, C.2
Kurien, S.3
Livescu, D.4
Taylor, M.A.5
Wingate, B.A.6
-
32
-
-
11744318899
-
Euler-Poincaré models of ideal fluids with nonlinear dispersion
-
Holm D.D., Marsden J.E., and Ratiu T.S. Euler-Poincaré models of ideal fluids with nonlinear dispersion. Phys. Rev. Lett. 80 (1998) 4173-4177
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 4173-4177
-
-
Holm, D.D.1
Marsden, J.E.2
Ratiu, T.S.3
-
33
-
-
0001971504
-
The Euler-Poincaré equations and semidirect products with applications to continuum theories
-
Holm D.D., Marsden J.E., and Ratiu T.S. The Euler-Poincaré equations and semidirect products with applications to continuum theories. Adv. Math. 137 1 (1998) 1-81
-
(1998)
Adv. Math.
, vol.137
, Issue.1
, pp. 1-81
-
-
Holm, D.D.1
Marsden, J.E.2
Ratiu, T.S.3
-
34
-
-
3042653856
-
Boundary effects on exact solutions of the Lagrangian-averaged Navier-Stokes-α equations
-
Holm D.D., Putkaradze V., Weidman P.D., and Wingate B.A. Boundary effects on exact solutions of the Lagrangian-averaged Navier-Stokes-α equations. J. Stat. Phys. 113 5-6 (2003) 841-854
-
(2003)
J. Stat. Phys.
, vol.113
, Issue.5-6
, pp. 841-854
-
-
Holm, D.D.1
Putkaradze, V.2
Weidman, P.D.3
Wingate, B.A.4
-
35
-
-
33847349931
-
-
A.A. Ilyin, E.M. Lunasin, E.S. Titi, A modified Leray-α subgrid scale model of turbulence, preprint
-
-
-
-
37
-
-
0035402775
-
Existence of global attractor for the three-dimensional modified Navier-Stokes equations
-
Ju N. Existence of global attractor for the three-dimensional modified Navier-Stokes equations. Nonlinearity 14 (2002) 777-786
-
(2002)
Nonlinearity
, vol.14
, pp. 777-786
-
-
Ju, N.1
-
38
-
-
0007173972
-
Some results on modifications of three-dimensional Navier-Stokes equations
-
Springer, New York
-
Ladyzhenskaya O. Some results on modifications of three-dimensional Navier-Stokes equations. Nonlinear Analysis and Continuum Mechanics (1998), Springer, New York 73-84
-
(1998)
Nonlinear Analysis and Continuum Mechanics
, pp. 73-84
-
-
Ladyzhenskaya, O.1
-
39
-
-
0002859777
-
New equations for the description of the motions of viscous incompressible fluids and global solvability for their boundary value problems
-
Ladyzhenskaya O. New equations for the description of the motions of viscous incompressible fluids and global solvability for their boundary value problems. Trudy Mat. Inst. Steklov. 102 (1967) 85-104
-
(1967)
Trudy Mat. Inst. Steklov.
, vol.102
, pp. 85-104
-
-
Ladyzhenskaya, O.1
-
41
-
-
0039272584
-
Quelques résultats d'existence dans des équations aux dérivées partielles non linéaires
-
Lions J.L. Quelques résultats d'existence dans des équations aux dérivées partielles non linéaires. Bull. Soc. Math. France 87 (1959) 245-273
-
(1959)
Bull. Soc. Math. France
, vol.87
, pp. 245-273
-
-
Lions, J.L.1
-
44
-
-
0030594509
-
A finite-dimensional attractor for three-dimensional flow of incompressible fluids
-
Málek J., and Nečas J. A finite-dimensional attractor for three-dimensional flow of incompressible fluids. J. Differential Equations 127 (1996) 498-518
-
(1996)
J. Differential Equations
, vol.127
, pp. 498-518
-
-
Málek, J.1
Nečas, J.2
-
45
-
-
0038111248
-
Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-α) equations on bounded domains
-
Marsden J.E., and Shkoller S. Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-α) equations on bounded domains. R. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci. 359 (2001) 1449-1468
-
(2001)
R. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci.
, vol.359
, pp. 1449-1468
-
-
Marsden, J.E.1
Shkoller, S.2
-
46
-
-
0001505107
-
Multidimensional advection and fractional dispersion
-
Meerschaert M.M., Benson D.A., and Baeumer B. Multidimensional advection and fractional dispersion. Phys. Rev. E 59 (1999) 5026-5028
-
(1999)
Phys. Rev. E
, vol.59
, pp. 5026-5028
-
-
Meerschaert, M.M.1
Benson, D.A.2
Baeumer, B.3
-
47
-
-
18344370872
-
Operator Lévy motion and multiscaling anomalous diffusion
-
Meerschaert M.M., Benson D.A., and Baeumer B. Operator Lévy motion and multiscaling anomalous diffusion. Phys. Rev. E 63 (2001) 021112
-
(2001)
Phys. Rev. E
, vol.63
, pp. 021112
-
-
Meerschaert, M.M.1
Benson, D.A.2
Baeumer, B.3
-
49
-
-
0003987999
-
-
Cambridge University Press
-
Pope S.B. Turbulent Flows (2003), Cambridge University Press
-
(2003)
Turbulent Flows
-
-
Pope, S.B.1
-
50
-
-
33847361167
-
-
J. Robinson, Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors, in: Cambridge Texts in Applied Mathematics, 2001
-
-
-
-
52
-
-
0001957739
-
General circulation experiments with the primitive equations
-
Smagorinsky J. General circulation experiments with the primitive equations. Mon. Weather Rev. 93 (1963) 99-164
-
(1963)
Mon. Weather Rev.
, vol.93
, pp. 99-164
-
-
Smagorinsky, J.1
-
53
-
-
0042355118
-
Existence of solutions of a mathematical model of a nonlinear viscous liquid
-
Sobolevskii P.E. Existence of solutions of a mathematical model of a nonlinear viscous liquid. Dokl. Acad. Nauk SSSR 285 (1985) 44-48
-
(1985)
Dokl. Acad. Nauk SSSR
, vol.285
, pp. 44-48
-
-
Sobolevskii, P.E.1
-
55
-
-
0037210213
-
On some modifications of Navier-Stokes equations
-
Soltanov K.N. On some modifications of Navier-Stokes equations. Nonlinear Anal. 52 (2003) 769-793
-
(2003)
Nonlinear Anal.
, vol.52
, pp. 769-793
-
-
Soltanov, K.N.1
-
57
-
-
17444393974
-
Trajectory attractor approximations of the 3D Navier-Stokes system by a Leray-α model
-
(Translated from Russian)
-
Vishik M.I., Titi E.S., and Chepyzhov V.V. Trajectory attractor approximations of the 3D Navier-Stokes system by a Leray-α model. Russian Math. Dokl. 71 (2005) 92-95 (Translated from Russian)
-
(2005)
Russian Math. Dokl.
, vol.71
, pp. 92-95
-
-
Vishik, M.I.1
Titi, E.S.2
Chepyzhov, V.V.3
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