-
2
-
-
44949275928
-
Slow motion for the Cahn-Hilliard equation in one space dimension
-
N. D. ALIKAKOS, P. W. BATES, AND G. FUSCO, Slow motion for the Cahn-Hilliard equation in one space dimension, J. Diff. Eq. 90 (1991), 81-135.
-
(1991)
J. Diff. Eq.
, vol.90
, pp. 81-135
-
-
Alikakos, N.D.1
Bates, P.W.2
Fusco, G.3
-
3
-
-
0018480694
-
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
-
S. ALLEN AND J. CAHN, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Acta Metall. 27 (1979), 1084-1095.
-
(1979)
Acta Metall.
, vol.27
, pp. 1084-1095
-
-
Allen, S.1
Cahn, J.2
-
5
-
-
0001636556
-
On the asymptotic solution of a nonlinear Dirichlet problem
-
M. S. BERGER AND L. E. FRAENKEL, On the asymptotic solution of a nonlinear Dirichlet problem, J. Math. Mech. 19 (1970), 553-585.
-
(1970)
J. Math. Mech.
, vol.19
, pp. 553-585
-
-
Berger, M.S.1
Fraenkel, L.E.2
-
6
-
-
84971972596
-
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. Part I: Mathematical analysis
-
J. E. BLOWEY AND C. M. ELLIOTT, The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. Part I: Mathematical analysis, Euro. J. Appl. Math. 2 (1991), 223-279.
-
(1991)
Euro. J. Appl. Math.
, vol.2
, pp. 223-279
-
-
Blowey, J.E.1
Elliott, C.M.2
-
8
-
-
44949278065
-
Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
-
L. BRONSARD AND R. V. KOHN, Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics, J. Diff. Eq. 90 (1989), 211-237.
-
(1989)
J. Diff. Eq.
, vol.90
, pp. 211-237
-
-
Bronsard, L.1
Kohn, R.V.2
-
9
-
-
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, Comm. Pure Appl. Math. 18 (1990), 983-997.
-
(1990)
Comm. Pure Appl. Math.
, vol.18
, pp. 983-997
-
-
Bronsard, L.1
Kohn, R.V.2
-
10
-
-
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. A 439 (1992), 669-682.
-
(1992)
Proc. R. Soc. Lond. A
, vol.439
, pp. 669-682
-
-
Bronsard, L.1
Hilhorst, D.2
-
11
-
-
33746012315
-
Free energy of a nonuniform system. I. Interfacial free energy
-
J. W. CAHN, AND J. E. HILLIARD, Free energy of a nonuniform system. I. Interfacial free energy, J. Chem. Phys. 28 (1958), 258-267.
-
(1958)
J. Chem. Phys.
, vol.28
, pp. 258-267
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
12
-
-
0015018902
-
Spinodal decomposition: A reprise
-
J. W. CAHN, AND J. E. HILLIARD, Spinodal decomposition: a reprise, Acta Metall. 19 (1971), 151-161.
-
(1971)
Acta Metall.
, vol.19
, pp. 151-161
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
13
-
-
33646973938
-
Stefan and Hele-Shaw type models as asymptotic limits of the phase field equations
-
G. CAGINALP, Stefan and Hele-Shaw type models as asymptotic limits of the phase field equations, Phys. Rev. 39 (1989), No. 11, 5887-5896.
-
(1989)
Phys. Rev.
, vol.39
, Issue.11
, pp. 5887-5896
-
-
Caginalp, G.1
-
14
-
-
85029971412
-
Phase field equations in the singular limit of sharp interface problems
-
G. CAGINALP, AND X. CHEN, Phase field equations in the singular limit of sharp interface problems, IMA Preprint Ser. 787 (1991).
-
IMA Preprint Ser.
, vol.787
, pp. 1991
-
-
Caginalp, G.1
Chen, X.2
-
16
-
-
21144479953
-
Hele-Shaw problem and area-preserving, curve shorting motion
-
to appear
-
X. CHEN, Hele-Shaw problem and area-preserving, curve shorting motion, ARMA, to appear, (1993).
-
(1993)
ARMA
-
-
Chen, X.1
-
18
-
-
84990617538
-
Phase transitions and generalized motion by mean curvature
-
L. C. EVANS, H. M. SONER, AND P. E. SOUGANIDIS, Phase transitions and generalized motion by mean curvature, Comm. Pure Appl. Math. 45 (1991), 1097-1123.
-
(1991)
Comm. Pure Appl. Math.
, vol.45
, pp. 1097-1123
-
-
Evans, L.C.1
Soner, H.M.2
Souganidis, P.E.3
-
19
-
-
84972518016
-
Motion of level sets by mean curvature
-
L. C. EVANS, AND J. SPRUCK, Motion of level sets by mean curvature, J. Diff. Geo. 33 (1991), 635-681.
-
(1991)
J. Diff. Geo.
, vol.33
, pp. 635-681
-
-
Evans, L.C.1
Spruck, J.2
-
21
-
-
0001863910
-
Slow-motion manifolds, dormant instabilities, and singular perturbations
-
G. FUSCO, AND J. K. HALE, Slow-motion manifolds, dormant instabilities, and singular perturbations, J. Dyn. Diff. Eq. 1 (1989), 75-94.
-
(1989)
J. Dyn. Diff. Eq.
, vol.1
, pp. 75-94
-
-
Fusco, G.1
Hale, J.K.2
-
23
-
-
0011599602
-
-
Report 92-NA-036, CMU, Pittsburgh
-
M. KATSOULAKIS, G. KOSSIORIS, AND F. REITICH, Generalized motion by mean curvature with Neumann condition and the Allen-Cahn model for phase transitions, Report 92-NA-036, CMU, Pittsburgh, 1992.
-
(1992)
Generalized Motion by Mean Curvature with Neumann Condition and the Allen-Cahn Model for Phase Transitions
-
-
Katsoulakis, M.1
Kossioris, G.2
Reitich, F.3
-
24
-
-
84971922508
-
Solutions of the Two Phase Stefan Problem with the Gibbs-Thomson relation for the Melting Temperature
-
ST. LUCKHAUS, Solutions of the Two Phase Stefan Problem with the Gibbs-Thomson relation for the Melting Temperature, Euro. J. Appl. Math. 1 (1990), 101-111.
-
(1990)
Euro. J. Appl. Math.
, vol.1
, pp. 101-111
-
-
Luckhaus, S.T.1
-
25
-
-
33845220501
-
The Gibbs-Thomson relation within the gradient theory for phase transitions
-
ST. LUCKHAUS, AND L. MODICA, The Gibbs-Thomson relation within the gradient theory for phase transitions, ARMA 107 (1989), 71-83.
-
(1989)
ARMA
, vol.107
, pp. 71-83
-
-
Luckhaus, S.T.1
Modica, L.2
-
26
-
-
34250109116
-
Gradient theory of phase transition and singular perturbation
-
L. MODICA, Gradient theory of phase transition and singular perturbation, ARMA 98 (1986), 123-142.
-
(1986)
ARMA
, vol.98
, pp. 123-142
-
-
Modica, L.1
-
28
-
-
0039088777
-
Geometrical evolution of developed interfaces
-
to appear
-
P. DE MOTTONI, AND M. SCHATZMAN, Geometrical evolution of developed interfaces, Trans. AMS, to appear, 1993.
-
(1993)
Trans. AMS
-
-
De Mottoni, P.1
Schatzman, M.2
-
29
-
-
36849117884
-
Morphological stability of a particle growing by diffusion and heat flow
-
W. W. MULLINS, AND R. F. SEKERKA, Morphological stability of a particle growing by diffusion and heat flow, J. Appl. Phys. 34 (1963), 323-329.
-
(1963)
J. Appl. Phys.
, vol.34
, pp. 323-329
-
-
Mullins, W.W.1
Sekerka, R.F.2
-
30
-
-
85029965083
-
Existence and uniqueness of radially symmetric stationary points within the gradient theory of phase transitions
-
to appear
-
B. S. NIETHAMMER, Existence and Uniqueness of Radially Symmetric Stationary Points within the Gradient Theory of Phase Transitions, Euro. J. Appl. Math., to appear, 1993.
-
(1993)
Euro. J. Appl. Math.
-
-
Niethammer, B.S.1
-
31
-
-
0001817373
-
On the viscous Cahn-Hilliard equation
-
Oxford Scientific, Oxford: Clarendon Press, (J. Ball, Ed.)
-
A. NOVICK-COHEN, On the viscous Cahn-Hilliard equation, in "Material Instabilities in Continuum Mechanics and Related Mathematical Problems," Oxford Scientific, Oxford: Clarendon Press, (J. Ball, Ed.), 1988, pp. 329-342.
-
(1988)
Material Instabilities in Continuum Mechanics and Related Mathematical Problems
, pp. 329-342
-
-
Novick-Cohen, A.1
-
32
-
-
0001410452
-
Front migration in the non-linear Cahn-Hilliard equation
-
R. L. PEGO, Front migration in the non-linear Cahn-Hilliard equation, Proc. R. Soc. Lond. A 422 (1989), 261-278.
-
(1989)
Proc. R. Soc. Lond. A
, vol.422
, pp. 261-278
-
-
Pego, R.L.1
-
35
-
-
85029970431
-
The Cahn-Hilliard equation as limit of the phase field equations
-
to appear
-
B. E. STOTH, The Cahn-Hilliard equation as limit of the phase field equations, Quart. Appl. Math., to appear, 1993.
-
(1993)
Quart. Appl. Math.
-
-
Stoth, B.E.1
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