Stability for a phase field model with the total variation functional as the interfacial energy

DOI10.1016/S0362-546X(02)00307-3zbMath1012.35006MaRDI QIDQ1868015

Nobuyuki Kenmochi, Ken Shirakawa

Publication date: 27 April 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

local stabilitylarge time behaviorasymptotic convergencestability of steady-state solutionsone-dimensional solid-liquid phase transition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) Stability of dynamical problems in solid mechanics (74H55) Phase transformations in solids (74N99)

Related Items (1)

Stability analysis for Allen-Cahn type equation associated with the total variation energy

Cites Work

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• Attractors of nonlinear evolution systems generated by time-dependent subdifferentials in Hilbert spaces
• Models of phase transitions
• A variational inequality for total variation functional with constraint

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