Convergence of the Cahn-Hilliard equation to the Hele-Shaw model

Author:

Alikakos Nicholas D.,Bates Peter W.,Chen Xinfu

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference43 articles.

1. N. D. Alikakos, P. W. Bates & G. Fusco, Slow motion for the Cahn-Hilliard equation in one space dimension, J. Diff. Eqns. 90 (1991), 81?135.

2. S. Allen & J. W. Cahn, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Acta. Metall., 27 (1979), 1084?1095.

3. N. D. Alikakos & G. Fusco, Equilibrium and dynamics of bubbles for the Cahn-Hilliard equation, preprint.

4. N. D. Alikakos & G. Fusco, Slow dynamics for the Cahn-Hilliard equation in higher space dimensions, Part I: Spectral estimates, to appear, Comm. Partial Diff. Eqns., Part II: The motion of bubbles. preprint.

5. N. D. Alikakos & G. Fusco, The spectrum of the Cahn-Hilliard operator for generic interface in higher space dimensions, Indiana University Math. J. 41 (1993), 637?674.

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