A relation between \(\Gamma\)-convergence of functionals and their associated gradient flows

DOI10.1007/BF02876564zbMath0923.35016arXivmath/0301155OpenAlexW1997416916MaRDI QIDQ1283087

Huai-Yu Jian

Publication date: 31 October 1999

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301155

zbMATH Keywords

asymptotic behaviourparabolic minima

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15)

Related Items (4)

The vortex dynamics of a Ginzburg-Landau system under pinning effect ⋮ Structure preserving discretization of Allen-Cahn type problems modeling the motion of phase boundaries ⋮ On the homogenization of degenerate parabolic equations ⋮ Ginzburg-Landau vortices with pinning functions and self-similar solutions in harmonic maps

Cites Work

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• Parabolic Q-minima and minimal solutions to variational flow
• Quasilinear elliptic-parabolic differential equations
• Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
• Homogenization problems of parabolic minima
• The gradient theory of phase transitions and the minimal interface criterion
• On solutions of some doubly nonlinear degenerate parabolic equations with absorption
• Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition

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