On an anisotropic Allen-Cahn system

DOI10.4067/S0719-06462015000200005zbMath1331.35175MaRDI QIDQ3465903

Alain Miranville

Publication date: 29 January 2016

Published in: Cubo (Temuco) (Search for Journal in Brave)

zbMATH Keywords

well-posednessAllen-Cahn equationWillmore regularizationanisotropy effects

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45)

Related Items (3)

Optimal control of anisotropic Allen-Cahn equations ⋮ Optimal control of a quasilinear parabolic equation and its time discretization ⋮ A qualitative analysis of a nonlinear second-order anisotropic diffusion problem with non-homogeneous Cauchy-Stefan-Boltzmann boundary conditions

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics.
• Diffuse interfaces with sharp corners and facets: Phase field models with strongly anisotropic surfaces
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Critical points of functionalized Lagrangians
• Asymptotic behavior of a sixth-order Cahn-Hilliard system
• Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
• A new phase-field model for strongly anisotropic systems
• Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems
• A generalization of the Allen-Cahn equation

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