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Volumn 155, Issue 4, 2000, Pages 261-276

Minimizing sequences selected via singular perturbations, and their pattern formation

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EID: 0034553303 PISSN: 00039527 EISSN: None Source Type: Journal
DOI: 10.1007/s002050000097 Document Type: Article

Times cited : (12)

References (9)

1
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2
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- Diplomarbeit, Universität Augsburg
- M. DOLL, Der singuläre Grenzübergang globaler Minimierer des stationären Cahn-Hilliard Modells mit Symmetrie, Diplomarbeit, Universität Augsburg, 1998.
- (1998) Der Singuläre Grenzübergang Globaler Minimierer des Stationären Cahn-hilliard Modells Mit Symmetrie
- Doll, M.¹

3
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- Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation
- P. C. FIFE, H. KIELHÖFER, S. MAIER-PAAPE & T. WANNER, Perturbation of Doubly Periodic Solution Branches with Applications to the Cahn-Hilliard Equation. Physica D 100, 257-278 (1997).
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- Fife, P.C.¹ Kielhöfer, H.² Maier-Paape, S.³ Wanner, T.⁴

4
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- Counting stationary solutions of the Cahn-Hilliard equation by transversality arguments
- M. GRINFIELD & A. NOVICK-COHEN, Counting stationary solutions of the Cahn-Hilliard equation by transversality arguments, Proc. Roy. Soc. Edinburgh 125A, 351-370 (1995).
- (1995) Proc. Roy. Soc. Edinburgh , vol.125 A , pp. 351-370
- Grinfield, M.¹ Novick-Cohen, A.²

5
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- Global continuation via higher-gradient regularization and singular limits in forced one-dimensional phase transitions
- T. J. HEALEY & H. KIELHÖFER, Global Continuation via Higher-Gradient Regularization and Singular Limits in Forced One-Dimensional Phase Transitions. Preprint 1998, to appear in SIAM J. Math. Anal.
- (1998) SIAM J. Math. Anal.
- Healey, T.J.¹ Kielhöfer, H.²

6
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- Pattern formation of the stationary Cahn-Hilliard model
- H. KIELHÖFER, Pattern Formation of the Stationary Cahn-Hilliard Model, Proc. Roy. Soc. Edinburgh 127A, 1219-1243 (1997).
- (1997) Proc. Roy. Soc. Edinburgh , vol.127 A , pp. 1219-1243
- Kielhöfer, H.¹

7
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- Report Nr. 99-331, Center for Dynamical Systems and Nonlinear Analysis, Georgia Tech, Atlanta, USA.
- S. MAIER-PAAPE & U. MILLER, Pathfollowing the equilibria of the Cahn-Hilliard equation on the square, Report Nr. 99-331, 1999, Center for Dynamical Systems and Nonlinear Analysis, Georgia Tech, Atlanta, USA.
- (1999) Pathfollowing the Equilibria of the Cahn-hilliard Equation on the Square
- Maier-Paape, S.¹ Miller, U.²

8
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- The gradient theory of phase transitions and the minimal interface criterion
- L. MODICA, The Gradient Theory of Phase Transitions and the Minimal Interface Criterion, Arch. Rational Mech. Anal. 98, 123-142 (1987).
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9
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- Singular perturbations as a selection criterion for periodic minimizing sequences
- S. MÜLLER, Singular perturbations as a selection criterion for periodic minimizing sequences. Calc. Var. 1, 169-204 (1993).
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- Müller, S.¹

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