Stability for steady-state patterns in phase field dynamics associated with total variation energies

DOI10.3934/DCDS.2006.15.1215zbMath1149.35314OpenAlexW2031633280MaRDI QIDQ874682

Ken Shirakawa

Publication date: 10 April 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.15.1215

zbMATH Keywords

singular diffusionAllen-Cahn equationsolid-liquid phase transitionsheat equation with time-relaxationstability for steady-state patternstotal variation energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Second-order parabolic systems (35K40)

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