-
1
-
-
47349087551
-
A nonlocal p-Laplacian evolution equation with Neumann boundary conditions
-
F. ANDREU, J. M. MAZÉN, J. D. ROSSI, AND J. TOLEDO, A nonlocal p-Laplacian evolution equation with Neumann boundary conditions, J. Math. Pures Appl., 90 (2008), pp. 201-227.
-
(2008)
J. Math. Pures Appl.
, vol.90
, pp. 201-227
-
-
Andreu, F.1
Mazén, J.M.2
Rossi, J.D.3
Toledo, J.4
-
2
-
-
70350120054
-
A nonlocal p-Laplacian evolution equation with nonhomogeneous Dirichlet boundary conditions
-
F. ANDREU, J. M. MAZÓN, J. D. ROSSI, AND J. TOLEDO, A nonlocal p-Laplacian evolution equation with nonhomogeneous Dirichlet boundary conditions, SIAM J. Math. Anal., 40 (2009), pp. 1815-1851.
-
(2009)
SIAM J. Math. Anal.
, vol.40
, pp. 1815-1851
-
-
Andreu, F.1
Mazón, J.M.2
Rossi, J.D.3
Toledo, J.4
-
3
-
-
67349208925
-
Diffusion in fluids with large mean free paths: Nonclassical behavior between Knudsen and Fickian limits
-
G. L. ARANOVICH AND M. D. DONOHUE, Diffusion in fluids with large mean free paths: Nonclassical behavior between Knudsen and Fickian limits, Phys. A, 388 (2009), pp. 3355-3370.
-
(2009)
Phys. A
, vol.388
, pp. 3355-3370
-
-
Aranovich, G.L.1
Donohue, M.D.2
-
4
-
-
60049086524
-
Can the nonlocal characterization of Sobolev spaces by Bourgain et al. be useful for solving variational problems?
-
G. AUBERT AND P. KORNPROBST, Can the nonlocal characterization of Sobolev spaces by Bourgain et al. be useful for solving variational problems?, SIAM J. Numer. Anal., 47 (2009), pp. 844-860.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 844-860
-
-
Aubert, G.1
Kornprobst, P.2
-
5
-
-
78649525393
-
-
Springer Ser. Synergetics, Springer-Verlag, Berlin
-
O. G. BAKUNIN, Turbulence and Diffusion, Springer Ser. Synergetics, Springer-Verlag, Berlin, 2008.
-
(2008)
Turbulence and Diffusion
-
-
Bakunin, O.G.1
-
6
-
-
0033147645
-
An integrodifferential model for phase transitions: Stationary solutions in higher space dimensions
-
P. W. BATES AND A. CHMAJ, An integrodifferential model for phase transitions: Stationary solutions in higher space dimensions, J. Statist. Phys., 95 (1999), pp. 1119-1139.
-
(1999)
J. Statist. Phys.
, vol.95
, pp. 1119-1139
-
-
Bates, P.W.1
Chmaj, A.2
-
7
-
-
0039608629
-
Adaptive finite element methods for elliptic equations with non-smooth coefficients
-
C. BERNARDI AND R. VERFÜRTH, Adaptive finite element methods for elliptic equations with non-smooth coefficients, Numer. Math., 85 (2000), pp. 579-608.
-
(2000)
Numer. Math.
, vol.85
, pp. 579-608
-
-
Bernardi, C.1
Verfürth, R.2
-
8
-
-
77954537037
-
The peridynamic formulation for transient heat conduction
-
to appear
-
F. BOBARU AND M. DUANGPANYA, The peridynamic formulation for transient heat conduction, Int. J. Heat Mass Transfer, to appear.
-
Int. J. Heat Mass Transfer
-
-
Bobaru, F.1
Duangpanya, M.2
-
9
-
-
63049109674
-
The mathematical theory of finite element methods
-
3rd ed., Springer, New York
-
S. C. BRENNER AND L. R. SCOTT, The Mathematical Theory of Finite Element Methods, 3rd ed., Texts Appl. Math. 15, Springer, New York, 2008.
-
(2008)
Texts Appl. Math
, vol.15
-
-
Brenner, S.C.1
Scott, L.R.2
-
11
-
-
79952556136
-
Mathematical analysis for the peridynamic nonlocal continuum theory
-
to appear
-
Q. DU AND K. ZHOU, Mathematical analysis for the peridynamic nonlocal continuum theory, M2AN Math. Model. Numer. Anal., to appear.
-
M2AN Math. Model. Numer. Anal.
-
-
Du, Q.1
Zhou, K.2
-
12
-
-
79251478605
-
Mathematical and numerical analysis of linear peridynamic models with nonlocal boundary conditions
-
to appear
-
Q. DU AND K. ZHOU, Mathematical and numerical analysis of linear peridynamic models with nonlocal boundary conditions, SIAM J. Numer. Anal., to appear.
-
SIAM J. Numer. Anal.
-
-
Du, Q.1
Zhou, K.2
-
13
-
-
39149115715
-
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity
-
E. EMMRICH AND O. WECKNER, On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity, Commun. Math. Sci., 5 (2007), pp. 851-864.
-
(2007)
Commun. Math. Sci.
, vol.5
, pp. 851-864
-
-
Emmrich, E.1
Weckner, O.2
-
14
-
-
33947643165
-
The peridynamic equation and its spatial discretization
-
E. EMMRICH AND O. WECKNER, The peridynamic equation and its spatial discretization, Math. Model. Anal., 12 (2007), pp. 12-27.
-
(2007)
Math. Model. Anal.
, vol.12
, pp. 12-27
-
-
Emmrich, E.1
Weckner, O.2
-
15
-
-
15544389981
-
Some nonclassical trends in parabolic and parabolic-like evolutions
-
M. Kirkilionis, S. Krömker, R. Rannacher, and F. Tomi, eds., Springer, Berlin
-
P. FIFE, Some nonclassical trends in parabolic and parabolic-like evolutions, in Trends in Nonlinear Analysis, M. Kirkilionis, S. Krömker, R. Rannacher, and F. Tomi, eds., Springer, Berlin, 2003, pp. 153-191.
-
(2003)
Trends in Nonlinear Analysis
, pp. 153-191
-
-
Fife, P.1
-
16
-
-
0003392158
-
-
3rd ed., Springer Ser. Synergetics, Springer-Verlag, Berlin
-
C. W. GARDINER, Handbook of Stochastic Methods: For Physics, Chemistry and the Natural Sciences, 3rd ed., Springer Ser. Synergetics, Springer-Verlag, Berlin, 2004.
-
(2004)
Handbook of Stochastic Methods: For Physics, Chemistry and the Natural Sciences
-
-
Gardiner, C.W.1
-
17
-
-
57049132103
-
Nonlocal operators with applications to image processing
-
G. GILBOA AND S. OSHER, Nonlocal operators with applications to image processing, Multiscale Model. Simul., 7 (2008), pp. 1005-1028.
-
(2008)
Multiscale Model. Simul.
, vol.7
, pp. 1005-1028
-
-
Gilboa, G.1
Osher, S.2
-
18
-
-
34548507221
-
A nonlocal convection-diffusion equation
-
L. I. IGNAT AND J. D. ROSSI, A nonlocal convection-diffusion equation, J. Funct. Anal., 251 (2007), pp. 399-437.
-
(2007)
J. Funct. Anal.
, vol.251
, pp. 399-437
-
-
Ignat, L.I.1
Rossi, J.D.2
-
19
-
-
67649389375
-
Decay estimates for nonlocal problems via energy methods
-
L. I. IGNAT AND J. D. ROSSI, Decay estimates for nonlocal problems via energy methods, J. Math. Pures Appl. (9), 92 (2009), pp. 163-187.
-
(2009)
J. Math. Pures Appl.
, vol.92
, Issue.9
, pp. 163-187
-
-
Ignat, L.I.1
Rossi, J.D.2
-
20
-
-
0003992610
-
-
4th ed., Appl. Math. Sci. 1, Springer-Verlag, New York
-
F. JOHN, Partial Differential Equations, 4th ed., Appl. Math. Sci. 1, Springer-Verlag, New York, 1982.
-
(1982)
Partial Differential Equations
-
-
John, F.1
-
21
-
-
40849086724
-
Force flux and the peridynamic stress tensor
-
R. B. LEHOUCQ AND S. A. SILLING, Force flux and the peridynamic stress tensor, J. Mech. Phys. Solids, 56 (2008), pp. 1566-1577.
-
(2008)
J. Mech. Phys. Solids
, vol.56
, pp. 1566-1577
-
-
Lehoucq, R.B.1
Silling, S.A.2
-
22
-
-
77953615036
-
Translation of Walter Noll's "derivation of the fundamental equations of continuum thermodynamics from statistical mechanics, "
-
R. B. LEHOUCQ AND A. VON LILIENFELD-TOAL, Translation of Walter Noll's "Derivation of the Fundamental Equations of Continuum Thermodynamics from Statistical Mechanics", J. Elasticity, 100 (2010), pp. 5-24.
-
(2010)
J. Elasticity
, vol.100
, pp. 5-24
-
-
Lehoucq, R.B.1
Von Lilienfeld-Toal, A.2
-
23
-
-
64849090484
-
Perspective on theories of non-Fickian transport in heterogeneous media
-
S. P. NEUMAN AND D. M. TARTAKOVSKY, Perspective on theories of non-Fickian transport in heterogeneous media, Adv. Water Resour., 32 (2009), pp. 670-680.
-
(2009)
Adv. Water Resour.
, vol.32
, pp. 670-680
-
-
Neuman, S.P.1
Tartakovsky, D.M.2
-
24
-
-
0005831509
-
Die Herleitung der Grundgleichungen der Thermomechanik der Kontinua aus der statistischen Mechanik
-
W. NOLL, Die Herleitung der Grundgleichungen der Thermomechanik der Kontinua aus der statistischen Mechanik, J. Rational Mech. Anal., 4 (1955), pp. 627-646.
-
(1955)
J. Rational Mech. Anal.
, vol.4
, pp. 627-646
-
-
Noll, W.1
-
25
-
-
79251502811
-
-
Ph. D. thesis, Florida State University, Tallahassee, FL
-
P. SELESON, Modeling, Analyses, and Computations for the Peridynamic Model for Mechanics, Ph. D. thesis, Florida State University, Tallahassee, FL, 2010.
-
(2010)
Modeling, Analyses, and Computations for the Peridynamic Model for Mechanics
-
-
Seleson, P.1
-
26
-
-
0346055020
-
Reformulation of elasticity theory for discontinuities and long-range forces
-
S. A. SILLING, Reformulation of elasticity theory for discontinuities and long-range forces, J. Mech. Phys. Solids, 48 (2000), pp. 175-209.
-
(2000)
J. Mech. Phys. Solids
, vol.48
, pp. 175-209
-
-
Silling, S.A.1
-
27
-
-
34547839624
-
Peridynamic states and constitutive modeling
-
S. A. SILLING, M. EPTON, O. WECKNER, J. XU, AND E. ASKARI, Peridynamic states and constitutive modeling, J. Elasticity, 88 (2007), pp. 151-184.
-
(2007)
J. Elasticity
, vol.88
, pp. 151-184
-
-
Silling, S.A.1
Epton, M.2
Weckner, O.3
Xu, J.4
Askari, E.5
-
28
-
-
3543049974
-
Deformation of a peridynamic bar
-
S. A. SILLING, M. ZIMMERMANN, AND R. ABEYARATNE, Deformation of a peridynamic bar, J. Elasticity, 73 (2003), pp. 173-190.
-
(2003)
J. Elasticity
, vol.73
, pp. 173-190
-
-
Silling, S.A.1
Zimmermann, M.2
Abeyaratne, R.3
-
29
-
-
12344302299
-
The effect of long-range forces on the dynamics of a bar
-
O. WECKNER AND R. ABEYARATNE, The effect of long-range forces on the dynamics of a bar, J. Mech. Phys. Solids, 53 (2005), pp. 705-728.
-
(2005)
J. Mech. Phys. Solids
, vol.53
, pp. 705-728
-
-
Weckner, O.1
Abeyaratne, R.2
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