Asymptotic behavior of solutions to a multi-phase Stefan problem

DOI10.1007/BF03167089zbMath0619.35053MaRDI QIDQ3755864

Nobuyuki Kenmochi, Alain Damlamian

Publication date: 1986

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

subdifferentialnonlinear evolution equationsenthalpyDirichlet-Neumann boundary conditionasymptotic behavior of weak solutionsmulti-phase Stefan problemquasi- linear heat equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items

Periodicity and almost periodicitiy of solutions to free boundary problems in Hele-Shaw flows ⋮ Subdifferential operator approach to a class of nonlinear systems for Stefan problems with phase relaxation ⋮ Shape optimization on the lateral boundary for multi-phase stefan problems ⋮ On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions ⋮ Boundedness and almost periodicity of solutions for a class of semilinear parabolic equations with boundary degeneracy ⋮ Periodicity and almost periodicity of solutions to a multi-phase Stefan problem in several space variables ⋮ LARGE TIME BEHAVIOR OF SOLUTIONS TO SOME DEGENERATE PARABOLIC EQUATIONS

Cites Work

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• On the quasi-linear heat equation with time-dependent obstacles
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