Periodicity and almost periodicity of solutions to a multi-phase Stefan problem in several space variables

DOI10.1016/0362-546X(88)90074-0zbMath0673.35103OpenAlexW1988241963MaRDI QIDQ3827003

Nobuyuki Kenmochi, Alain Damlamian

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90074-0

zbMATH Keywords

stabilityexistenceperiodic solutionsweak formulationa priori estimatesalmost periodic functionsStefan problemmulti-phaseinterior and boundary data

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Almost and pseudo-almost periodic solutions to PDEs (35B15) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Free boundary problems for PDEs (35R35)

Related Items (5)

Periodic stability for some degenerate parabolic equations with nonlinear flux conditions ⋮ Periodic stability of solutions to two-phase stefan problems with nonlinear boundary condition ⋮ Subdifferential operator approach to a class of nonlinear systems for Stefan problems with phase relaxation ⋮ Existence of periodic solution to one dimensional free boundary problems for adsorption phenomena ⋮ Boundedness and almost periodicity of solutions for a class of semilinear parabolic equations with boundary degeneracy

Cites Work

• Continuity of the temperature in the two-phase Stefan problem
• Time periodic solutions of a one-dimensional two-phase Stefan problem
• Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems
• Problèmes d'évolution dans les Hilberts et applications
• Some nonlinear parabolic variational inequalities
• Comportement a l'infini pour les equations d'evolution avec forcing periodique
• Asymptotic behavior of solutions to a multi-phase Stefan problem
• Periodic behaviour for the evolutionary dam problem and related free boundary problems Evolutionary dam problem
• Some results on the multi-phase stefan problem
• The solution by iteration of nonlinear functional equations in Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Periodicity and almost periodicity of solutions to a multi-phase Stefan problem in several space variables