-
1
-
-
44949275928
-
Slow motion for the Cahn-Hilliard equation in one space dimension
-
N. Alikakos, P.W. Bates and G. Fusco, Slow motion for the Cahn-Hilliard equation in one space dimension, J. Differ. Equations, 90, 1, 81-135, 1991.
-
(1991)
J. Differ. Equations
, vol.90
, Issue.1
, pp. 81-135
-
-
Alikakos, N.1
Bates, P.W.2
Fusco, G.3
-
2
-
-
84963254790
-
Slow dynamics for the Cahn-Hilliard equation in higher space dimensions. I: Spectral estimates
-
N. Alikakos and G. Fusco, Slow dynamics for the Cahn-Hilliard equation in higher space dimensions. I: Spectral estimates, Commun. Partial Differ. Equations, 19, 9-10, 1397-1447, 1994.
-
(1994)
Commun. Partial Differ. Equations
, vol.19
, Issue.9-10
, pp. 1397-1447
-
-
Alikakos, N.1
Fusco, G.2
-
3
-
-
43949159714
-
Metastable patterns for the Cahn-Hilliard equation. I
-
P.W. Bates and J. Xun, Metastable patterns for the Cahn-Hilliard equation. I., J. Differ. Equations, 111, 2, 421-457, 1994.
-
(1994)
J. Differ. Equations
, vol.111
, Issue.2
, pp. 421-457
-
-
Bates, P.W.1
Xun, J.2
-
4
-
-
33847721052
-
Inpainting of binary images using the Cahn-Hilliard equation
-
A. Bertozzi, S. Esedoglu and A. Gillette, Inpainting of binary images using the Cahn-Hilliard equation, IEEE Trans. Image Proc., 16, 1, 285-291, 2007.
-
(2007)
IEEE Trans. Image Proc
, vol.16
, Issue.1
, pp. 285-291
-
-
Bertozzi, A.1
Esedoglu, S.2
Gillette, A.3
-
5
-
-
50949104589
-
-
Multiscale Modeling and Simulation, 6, 3
-
A. Bertozzi, S. Esedoglu and A. Gillette, Analysis of a two-scale Cahn-Hilliard model for image inpainting, Multiscale Modeling and Simulation, 6, 3, 913-936, 2007.
-
(2007)
Analysis of a two-scale Cahn-Hilliard model for image inpainting
, pp. 913-936
-
-
Bertozzi, A.1
Esedoglu, S.2
Gillette, A.3
-
6
-
-
84972038069
-
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. II. Numerical analysis
-
J.F. Blowey and C.M. Elliott, The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. II. Numerical analysis, Eur. J. Appl. Math., 3, 2, 147-179, 1992.
-
(1992)
Eur. J. Appl. Math
, vol.3
, Issue.2
, pp. 147-179
-
-
Blowey, J.F.1
Elliott, C.M.2
-
7
-
-
0001196888
-
On the slow dynamics for the Cahn-Hilliard equation in one space dimension
-
L. Bronsard and D. Hilhorst, - On the slow dynamics for the Cahn-Hilliard equation in one space dimension, Proc. R. Soc. Lond., Ser. A, 439, 1907, 669-682, 1992.
-
(1992)
Proc. R. Soc. Lond., Ser. A
, vol.439
, Issue.1907
, pp. 669-682
-
-
Bronsard, L.1
Hilhorst, D.2
-
8
-
-
84990575560
-
On the slowness of phase boundary motion in one space dimension
-
L. Bronsard and R.V. Kohn, On the slowness of phase boundary motion in one space dimension, Commun. Pure Appl. Math., 43, 8, 983-997, 1990.
-
(1990)
Commun. Pure Appl. Math
, vol.43
, Issue.8
, pp. 983-997
-
-
Bronsard, L.1
Kohn, R.V.2
-
9
-
-
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, 258-267, 1958.
-
(1958)
J. Chem. Phys
, vol.28
, pp. 258-267
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
10
-
-
0000358405
-
Structured phase transitions on a finite interval
-
J. Carr, M.E. Gurtin and M. Slemrod, Structured phase transitions on a finite interval, Arch. Rat. Mech. Anal., 86, 317-351, 1984.
-
(1984)
Arch. Rat. Mech. Anal
, vol.86
, pp. 317-351
-
-
Carr, J.1
Gurtin, M.E.2
Slemrod, M.3
-
11
-
-
0001514990
-
Global asymptotic limit of solutions of the Cahn-Hilliard equation
-
X. Chen, Global asymptotic limit of solutions of the Cahn-Hilliard equation, J. Differ. Geom., 44, 2, 262-311, 1996.
-
(1996)
J. Differ. Geom
, vol.44
, Issue.2
, pp. 262-311
-
-
Chen, X.1
-
12
-
-
0000368416
-
Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter
-
X. Chen and M. Kowalczyk, Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter, Commun. Partial Differ. Equations, 21, 7-8, 1207-1233, 1996.
-
(1996)
Commun. Partial Differ. Equations
, vol.21
, Issue.7-8
, pp. 1207-1233
-
-
Chen, X.1
Kowalczyk, M.2
-
13
-
-
29144514194
-
A phase field formulation of the Willmore problem
-
Q. Du, C. Liu, R. Ryham. and X. Wang, A phase field formulation of the Willmore problem, Nonlinearity, 18, 3, 1249-1267, 2005.
-
(2005)
Nonlinearity
, vol.18
, Issue.3
, pp. 1249-1267
-
-
Du, Q.1
Liu, C.2
Ryham, R.3
Wang, X.4
-
14
-
-
0001617217
-
Numerical studies of the Cahn-Hilliard equation for phase separation
-
C.M. Elliott and D.A. French, Numerical studies of the Cahn-Hilliard equation for phase separation, IMA J. Appl. Math., 38, 97-128, 1987.
-
(1987)
IMA J. Appl. Math
, vol.38
, pp. 97-128
-
-
Elliott, C.M.1
French, D.A.2
-
15
-
-
10844281634
-
-
Department of Mathematics, University of Utah, Salt Lake City
-
D.J. Eyre, An unconditionally stable one-step scheme for gradient systems, Department of Mathematics, University of Utah, Salt Lake City, 1-15, 1998.
-
(1998)
An unconditionally stable one-step scheme for gradient systems
, pp. 1-15
-
-
Eyre, D.J.1
-
16
-
-
11144340252
-
Error analysis of a mixed finite element method for the Cahn-Hilliard equation
-
X. Feng and A. Prohl, Error analysis of a mixed finite element method for the Cahn-Hilliard equation, Numer. Math., 99, 1, 47-84, 2004.
-
(2004)
Numer. Math
, vol.99
, Issue.1
, pp. 47-84
-
-
Feng, X.1
Prohl, A.2
-
17
-
-
15544366700
-
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem
-
X. Feng and A. Prohl, Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem, Interfaces Free Bound., 7, 1, 1-28, 2005.
-
(2005)
Interfaces Free Bound
, vol.7
, Issue.1
, pp. 1-28
-
-
Feng, X.1
Prohl, A.2
-
18
-
-
0013027276
-
Models for phase separation and their mathematics
-
P.C. Fife, Models for phase separation and their mathematics, Electronic J. Differ. Equations, 2000, 48, 1-26, 2000.
-
(2000)
Electronic J. Differ. Equations, 2000
, vol.48
, pp. 1-26
-
-
Fife, P.C.1
-
19
-
-
0003174115
-
Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation
-
P.C. Fife, H. Kielhoefer, S. Maier-Paape and T. Wanner, Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation, Physica D, 100, 1-4, 257-278, 1997.
-
(1997)
Physica D
, vol.100
, Issue.1-4
, pp. 257-278
-
-
Fife, P.C.1
Kielhoefer, H.2
Maier-Paape, S.3
Wanner, T.4
-
20
-
-
0040619949
-
Slow motion in one-dimensional Cahn-Morral systems
-
C.P. Grant, Slow motion in one-dimensional Cahn-Morral systems, SIAM J. Math. Anal., 26, 1, 21-34, 1995.
-
(1995)
SIAM J. Math. Anal
, vol.26
, Issue.1
, pp. 21-34
-
-
Grant, C.P.1
-
21
-
-
84971124145
-
Counting stationary solutions of the Cahn-Hilliard equation by transversality arguments
-
M. Grinfeld and A. Novick-Cohen, Counting stationary solutions of the Cahn-Hilliard equation by transversality arguments, Proc. R. Soc. Edinb., Sect. A, 125, 2, 351-370, 1995.
-
(1995)
Proc. R. Soc. Edinb., Sect. A
, vol.125
, Issue.2
, pp. 351-370
-
-
Grinfeld, M.1
Novick-Cohen, A.2
-
22
-
-
0001343091
-
The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor
-
M. Grinfeld and A. Novick-Cohen, The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor, Trans. Am. Math. Soc., 351, 6, 2375-2406, 1999.
-
(1999)
Trans. Am. Math. Soc
, vol.351
, Issue.6
, pp. 2375-2406
-
-
Grinfeld, M.1
Novick-Cohen, A.2
-
23
-
-
0001448409
-
Toward a nonequilibrium thermodynamics of two-phase materials
-
M.E. Gurtin, Toward a nonequilibrium thermodynamics of two-phase materials, Arch. Rat. Mech. Anal., 100, 3, 275-312, 1988.
-
(1988)
Arch. Rat. Mech. Anal
, vol.100
, Issue.3
, pp. 275-312
-
-
Gurtin, M.E.1
-
25
-
-
0001228050
-
On semi- and subanalytic geometry. (Sur la géométrie semi- et sous-analytique)
-
S. Lojasiewicz, On semi- and subanalytic geometry. (Sur la géométrie semi- et sous-analytique), Ann. Inst. Fourier, 43, 5, 1575-1595, 1993.
-
(1993)
Ann. Inst. Fourier
, vol.43
, Issue.5
, pp. 1575-1595
-
-
Lojasiewicz, S.1
-
26
-
-
10844251567
-
Numerical study of the Cahn-Hilliard equation in one, two and three dimensions
-
E.V.L. de Mello and O.T. da Silveira Filho, Numerical study of the Cahn-Hilliard equation in one, two and three dimensions, Physica A, 347, 429-443, 2005.
-
(2005)
Physica A
, vol.347
, pp. 429-443
-
-
de Mello, E.V.L.1
da Silveira Filho, O.T.2
-
27
-
-
0000520933
-
Some global dynamical properties of a class of pattern formation equations
-
B. Nicolaenko, B. Scheurer and R. Temam, Some global dynamical properties of a class of pattern formation equations, Commun. Partial Differ. Equations, 14, 2, 245-297, 1989.
-
(1989)
Commun. Partial Differ. Equations
, vol.14
, Issue.2
, pp. 245-297
-
-
Nicolaenko, B.1
Scheurer, B.2
Temam, R.3
-
28
-
-
0001410452
-
Front migration in the nonlinear Cahn-Hilliard equation
-
R.L. Pego, Front migration in the nonlinear Cahn-Hilliard equation, Proc. Roy. Soc. London Ser. A, 422, 261-278, 1989.
-
(1989)
Proc. Roy. Soc. London Ser. A
, vol.422
, pp. 261-278
-
-
Pego, R.L.1
-
29
-
-
45149136070
-
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
-
O. Penrose and P.C. Fife, Thermodynamically consistent models of phase-field type for the kinetics of phase transitions, Physica D, 43, 44-62, 1990.
-
(1990)
Physica D
, vol.43
, pp. 44-62
-
-
Penrose, O.1
Fife, P.C.2
-
30
-
-
33749607402
-
On a modified conjecture of De Giorgi
-
M. Röger and R. Schätzle, On a modified conjecture of De Giorgi, Math. Z., 254, 4, 675-714, 2006.
-
(2006)
Math. Z
, vol.254
, Issue.4
, pp. 675-714
-
-
Röger, M.1
Schätzle, R.2
-
32
-
-
0033475056
-
Convergence of solutions to Cahn-Hilliard equation
-
P. Rybka and K.H. Hoffmann, Convergence of solutions to Cahn-Hilliard equation, Commun. Partial Differ. Equations, 24, 5-6, 1055-1077, 1999.
-
(1999)
Commun. Partial Differ. Equations
, vol.24
, Issue.5-6
, pp. 1055-1077
-
-
Rybka, P.1
Hoffmann, K.H.2
-
33
-
-
0000137102
-
Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
-
L. Simon, Asymptotics for a class of non-linear evolution equations, with applications to geometric problems, Ann. of Math., 118, 525-571, 1983.
-
(1983)
Ann. of Math
, vol.118
, pp. 525-571
-
-
Simon, L.1
-
34
-
-
0034482446
-
Unexpectedly linear behavior for the Cahn-Hilliard equation
-
E. Sander and T. Warmer, Unexpectedly linear behavior for the Cahn-Hilliard equation, SIAM J. Appl. Math., 60, 6, 2182-2202, 2000.
-
(2000)
SIAM J. Appl. Math
, vol.60
, Issue.6
, pp. 2182-2202
-
-
Sander, E.1
Warmer, T.2
-
35
-
-
0000698557
-
On the stationary Cahn-Hilliard equation: Interior spike solutions
-
J. Wei and M. Winter, On the stationary Cahn-Hilliard equation: Interior spike solutions, J. Differ. Equations, 148, 2, 231-267, 1998.
-
(1998)
J. Differ. Equations
, vol.148
, Issue.2
, pp. 231-267
-
-
Wei, J.1
Winter, M.2
-
36
-
-
0032374539
-
On the stationary Cahn-Hilliard equation: Bubble solutions
-
J. Wei and M. Winter, On the stationary Cahn-Hilliard equation: bubble solutions, SIAM J. Math. Anal., 29, 6, 1492-1518, 1998.
-
(1998)
SIAM J. Math. Anal
, vol.29
, Issue.6
, pp. 1492-1518
-
-
Wei, J.1
Winter, M.2
-
37
-
-
0000585101
-
-
Annales de l'institut Henri Poincare (C) Nonnear Analysis, 15, 4
-
J. Wei and M. Winter, Stationary solutions for the Cahn-Hilliard equation, Annales de l'institut Henri Poincare (C) Nonnear Analysis, 15, 4, 459-492, 1998.
-
(1998)
Stationary solutions for the Cahn-Hilliard equation
, pp. 459-492
-
-
Wei, J.1
Winter, M.2
-
39
-
-
84972948188
-
Asymptotic behavior of solution to the Cahn-Hilliard equation
-
S. Zheng, Asymptotic behavior of solution to the Cahn-Hilliard equation, Appl. Anal., 23, 165-184, 1986.
-
(1986)
Appl. Anal
, vol.23
, pp. 165-184
-
-
Zheng, S.1
|