-
1
-
-
0003796630
-
-
Academic Press, New York
-
R.A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.
-
(1975)
Sobolev Spaces
-
-
Adams, R.A.1
-
2
-
-
0018480694
-
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsing
-
S. ALLEN AND J.W. CAHN, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsing, Acta Metall., 27 (1979), pp. 1084-1095.
-
(1979)
Acta Metall.
, vol.27
, pp. 1084-1095
-
-
Allen, S.1
Cahn, J.W.2
-
3
-
-
33746012315
-
Free energy of a non-uniform system I. Interfacial free energy
-
J.W. CAHN AND J.E. HILLIARD, Free energy of a non-uniform system I. Interfacial free energy, J. Chem. Phys., 28 (1958), pp. 258-267.
-
(1958)
J. Chem. Phys.
, vol.28
, pp. 258-267
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
4
-
-
0016345113
-
A bifurcation problem for a nonlinear partial differential equation of parabolic type
-
N. CHAFEE AND E. INFANTE, A bifurcation problem for a nonlinear partial differential equation of parabolic type, SIAM J. Appl. Anal., 4 (1974), pp. 17-37.
-
(1974)
SIAM J. Appl. Anal.
, vol.4
, pp. 17-37
-
-
Chafee, N.1
Infante, E.2
-
5
-
-
0000067561
-
Macroscopic models for superconductivity
-
S.J. CHAPMAN, J.D. HOWISON, AND J.R. OCKENDON, Macroscopic models for superconductivity, SIAM Rev., 34 (1992), pp. 529-560.
-
(1992)
SIAM Rev.
, vol.34
, pp. 529-560
-
-
Chapman, S.J.1
Howison, J.D.2
Ockendon, J.R.3
-
7
-
-
0003983878
-
-
Springer-Verlag, Berlin, New York
-
P. CONSTANTIN, C. FOIAS, B. NICOLAENKO, AND R. TEMAM, Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations, Springer-Verlag, Berlin, New York, 1989.
-
(1989)
Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
-
-
Constantin, P.1
Foias, C.2
Nicolaenko, B.3
Temam, R.4
-
9
-
-
0000719102
-
Finite dimensional models of the Ginzburg-Landau equation
-
A. DOELMAN, Finite dimensional models of the Ginzburg-Landau equation, Nonlinearity, 4 (1990), pp. 231-250.
-
(1990)
Nonlinearity
, vol.4
, pp. 231-250
-
-
Doelman, A.1
-
10
-
-
0000287007
-
Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation
-
A. DOELMAN AND E.S. TITI, Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation, Numer. Funct. Anal. Optim., 14 (1993), pp. 299-321.
-
(1993)
Numer. Funct. Anal. Optim.
, vol.14
, pp. 299-321
-
-
Doelman, A.1
Titi, E.S.2
-
11
-
-
0000153785
-
Low-dimensional behaviour in the complex Ginzburg-Landau equation
-
C. DOERING, J. GIBBON, D. HOLM, AND B. NICOLAENKO, Low-dimensional behaviour in the complex Ginzburg-Landau equation, Nonlinearity, 1 (1988), pp. 279-309.
-
(1988)
Nonlinearity
, vol.1
, pp. 279-309
-
-
Doering, C.1
Gibbon, J.2
Holm, D.3
Nicolaenko, B.4
-
12
-
-
0026838281
-
Analysis and approximation of the Ginzburg-Landau model of superconductivity
-
Q. Du, M.D. GUNZBUGER, AND J.S. PETERSON, Analysis and approximation of the Ginzburg-Landau model of superconductivity, SIAM Rev., 34 (1992), pp. 54-81.
-
(1992)
SIAM Rev.
, vol.34
, pp. 54-81
-
-
Du, Q.1
Gunzbuger, M.D.2
Peterson, J.S.3
-
13
-
-
0000815546
-
Regularity, approximation and asymptotic dynamics for a generalised Ginzburg-Landau equation
-
J. DUAN, E.S. TITI, AND P. HOLMES, Regularity, approximation and asymptotic dynamics for a generalised Ginzburg-Landau equation, Nonlinearity, 6 (1993), pp. 915-933.
-
(1993)
Nonlinearity
, vol.6
, pp. 915-933
-
-
Duan, J.1
Titi, E.S.2
Holmes, P.3
-
14
-
-
0347990845
-
Error estimates with smooth and non-smooth data for a finite element method for the Cahn-Hilliard equation
-
C.M. ELLIOTT AND S. LARSSON, Error estimates with smooth and non-smooth data for a finite element method for the Cahn-Hilliard equation, Math. Comp, 49 (1987), pp. 359-377.
-
(1987)
Math. Comp
, vol.49
, pp. 359-377
-
-
Elliott, C.M.1
Larsson, S.2
-
15
-
-
0027811215
-
The global dynamics of discrete semilinear parabolic equations
-
C.M. ELLIOTT AND A.M. STUART, The global dynamics of discrete semilinear parabolic equations, SIAM J. Numer. Anal., 30 (1993), pp. 1622-1663.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 1622-1663
-
-
Elliott, C.M.1
Stuart, A.M.2
-
16
-
-
0001336644
-
Dissipativity of numerical schemes
-
C. FOIAS, M. JOLLY, I. KEVREKIDIS, AND E. TITI, Dissipativity of numerical schemes, Nonlinearity, 4 (1991), pp. 591-613.
-
(1991)
Nonlinearity
, vol.4
, pp. 591-613
-
-
Foias, C.1
Jolly, M.2
Kevrekidis, I.3
Titi, E.4
-
17
-
-
0000640733
-
Inertial manifolds for nonlinear evolutionary equations
-
C. FOIAS, G. SELL, AND R. TEMAM, Inertial manifolds for nonlinear evolutionary equations, J. Differential Equations, 73 (1988), pp. 309-353.
-
(1988)
J. Differential Equations
, vol.73
, pp. 309-353
-
-
Foias, C.1
Sell, G.2
Temam, R.3
-
18
-
-
33746636159
-
Gevrey class regularity for the solutions of the Navier-Stokes equations
-
C. FOIAS AND R. TEMAM, Gevrey class regularity for the solutions of the Navier-Stokes equations, J. Funct. Anal., 87 (1989), pp. 359-369.
-
(1989)
J. Funct. Anal.
, vol.87
, pp. 359-369
-
-
Foias, C.1
Temam, R.2
-
19
-
-
0000166593
-
Determining nodes, finite difference schemes and inertial manifolds
-
C. FOIAS AND E. TITI, Determining nodes, finite difference schemes and inertial manifolds, Nonlinearity, 4 (1991), pp. 135-153.
-
(1991)
Nonlinearity
, vol.4
, pp. 135-153
-
-
Foias, C.1
Titi, E.2
-
20
-
-
0000322045
-
Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
-
J.M. GHIDAGLIA AND B. HÉRON, Dimension of the attractors associated to the Ginzburg-Landau partial differential equation, Phys. D, 28 (1987), pp. 282-304.
-
(1987)
Phys. D
, vol.28
, pp. 282-304
-
-
Ghidaglia, J.M.1
Héron, B.2
-
21
-
-
0001453581
-
Universal decay of vortex density in two dimensions
-
G. HUBER AND P. ALSTROM, Universal decay of vortex density in two dimensions, Phys. A, 195 (1993), pp. 448-456.
-
(1993)
Phys. A
, vol.195
, pp. 448-456
-
-
Huber, G.1
Alstrom, P.2
-
22
-
-
0011601917
-
On the behavior of attractors under finite difference approximation
-
D.A. JONES, On the behavior of attractors under finite difference approximation, Numer. Funct. Anal. Optim., 16 (1995), pp. 1155-1180.
-
(1995)
Numer. Funct. Anal. Optim.
, vol.16
, pp. 1155-1180
-
-
Jones, D.A.1
-
23
-
-
34247177026
-
On the effectiveness of the approximate inertial manifold - A computational study
-
D.A. JONES, L.G. MARGOLIN, AND E.S. TITI, On the effectiveness of the approximate inertial manifold - a computational study, Theoret. Comput. Fluid Dynamics, 7 (1995), pp. 243-260.
-
(1995)
Theoret. Comput. Fluid Dynamics
, vol.7
, pp. 243-260
-
-
Jones, D.A.1
Margolin, L.G.2
Titi, E.S.3
-
24
-
-
0000868591
-
Attractive invariant manifolds under approximation
-
D.A. JONES AND A.M. STUART, Attractive invariant manifolds under approximation, J. Differential Equations, 123 (1995), pp. 588-637.
-
(1995)
J. Differential Equations
, vol.123
, pp. 588-637
-
-
Jones, D.A.1
Stuart, A.M.2
-
25
-
-
0030143852
-
1 approximations of inertial manifolds for dissipative nonlinear equations
-
1 approximations of inertial manifolds for dissipative nonlinear equations, J. Differential Equations, 127 (1996), pp. 54-86.
-
(1996)
J. Differential Equations
, vol.127
, pp. 54-86
-
-
Jones, D.A.1
Titi, E.S.2
-
26
-
-
0022134240
-
Dynamics of the perturbed wavetrain solutions to the Ginzburg-Landau equation
-
L. KEEFE, Dynamics of the perturbed wavetrain solutions to the Ginzburg-Landau equation, Stud. Appl. Math., 73 (1985), pp. 91-153.
-
(1985)
Stud. Appl. Math.
, vol.73
, pp. 91-153
-
-
Keefe, L.1
-
28
-
-
0041465981
-
Discrete Gevrey regularity, attractors and upper-semicontinuity for a finite difference approximation to the Ginzburg-Landau equation
-
G.J. LORD AND A.M. STUART, Discrete Gevrey regularity, attractors and upper-semicontinuity for a finite difference approximation to the Ginzburg-Landau equation, Numer. Funct. Anal. Optim., 16 (1995), pp. 1003-1047.
-
(1995)
Numer. Funct. Anal. Optim.
, vol.16
, pp. 1003-1047
-
-
Lord, G.J.1
Stuart, A.M.2
-
29
-
-
0347360607
-
A mesh analogue of the imbedding theorem for type w classes
-
J.I. MOKIN, A mesh analogue of the imbedding theorem for type w classes, J. Numer. Math., 6 (1971), pp. 1-16.
-
(1971)
J. Numer. Math.
, vol.6
, pp. 1-16
-
-
Mokin, J.I.1
-
30
-
-
0003316678
-
Semigroups of Linear Operators and Applications to Partial Differential Equations
-
Springer-Verlag, New York
-
A. PAZY, Semigroups of Linear Operators and Applications to Partial Differential Equations, Appl. Math. Sci., vol. 44, Springer-Verlag, New York, 1983.
-
(1983)
Appl. Math. Sci.
, vol.44
-
-
Pazy, A.1
-
31
-
-
84959644006
-
A non-linear instability theory for a wave system in a plane Poiseuille flow
-
K. STEWARTSON AND J.T. STUART, A non-linear instability theory for a wave system in a plane Poiseuille flow, J. Fluid Mech., 48 (1971), pp. 529-545.
-
(1971)
J. Fluid Mech.
, vol.48
, pp. 529-545
-
-
Stewartson, K.1
Stuart, J.T.2
-
32
-
-
0003278399
-
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
-
Springer-Verlag, New York
-
R. TEMAM, Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Appl. Math. Sci., vol. 68, Springer-Verlag, New York, 1988.
-
(1988)
Appl. Math. Sci.
, vol.68
-
-
Temam, R.1
-
33
-
-
0141604511
-
Dimensions of attractors for discretizations for Navier-Stokes equations
-
Y. YAN, Dimensions of attractors for discretizations for Navier-Stokes equations, J. Dynamics Differential Equations, 4 (1992), pp. 275-340.
-
(1992)
J. Dynamics Differential Equations
, vol.4
, pp. 275-340
-
-
Yan, Y.1
-
34
-
-
0346275725
-
Attractors and error estimates for discretizations of incompressible Navier-Stokes equations
-
Y. YAN, Attractors and error estimates for discretizations of incompressible Navier-Stokes equations, SIAM J. Numer. Anal., 33 (1996), pp. 1451-1472.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1451-1472
-
-
Yan, Y.1
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