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Zbl 1239.35015
Serfaty, Sylvia
Gamma-convergence of gradient flows on Hilbert and metric spaces and applications.
(English)
[J] Discrete Contin. Dyn. Syst. 31, No. 4, 1427-1451 (2011). ISSN 1078-0947; ISSN 1553-5231/e

The paper is concerned with the $\Gamma$-convergence of gradient flows and with a suitable generalization to metric spaces. It also contains a summary of the abstract results as well as of some of the applications in the context of the Ginzburg-Landau, Allen-Cahn, and Cahn-Hilliard equations and of Mullins-Sekerka-type evolutions.
[Adrian Muntean (Eindhoven)]
MSC 2000:
*35B27 Homogenization, etc.
35K15 Second order parabolic equations, initial value problems
35Q56

Keywords: gradient flow; $\Gamma$-convergence; Ginzburg-Landau equation; Allen-Cahn equation; Cahn-Hilliard equation; Mullins-Sekerka evolution

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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