Asymmetric heteroclinic double layers

DOI10.1051/cocv:2002039zbMath1092.35030OpenAlexW2153667094MaRDI QIDQ4421123

Michelle Schatzman

Publication date: 19 August 2003

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2002__8__965_0

zbMATH Keywords

non-convex optimizationGinzburg-Landauheteroclinic connectionselliptic systems in unbounded domains

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• Gradient theory of phase transitions with boundary contact energy
• Vector-valued local minimizers of nonconvex variational problems
• Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential
• Perturbation theory for linear operators.
• The gradient theory of phase transitions and the minimal interface criterion
• Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition
• The gradient theory of phase transitions for systems with two potential wells
• The Gradient Theory of the Phase Transitions in Cahn–Hilliard Fluids with Dirichlet Boundary Conditions