Existence of periodic solution to one dimensional free boundary problems for adsorption phenomena

DOI10.26516/1997-7670.2018.25.3zbMath1409.35238OpenAlexW2894330885MaRDI QIDQ1717401

Toyohiko Aiki, Naoki Sato

Publication date: 5 February 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/assets/articles/afd320b2-8e86-4f34-817a-af0844a9586f.pdf

zbMATH Keywords

free boundary problemperiodic solutionfixed point argument

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Periodic solutions to PDEs (35B10) Free boundary problems for PDEs (35R35)

Cites Work

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• On a large time behavior of a solution to a one-dimensional free boundary problem for adsorption phenomena
• A one dimensional free boundary problem for adsorption phenomena
• Uniqueness of solutions to a mathematical model describing moisture transport in concrete materials
• Periodicity and almost periodicity of solutions to a multi-phase Stefan problem in several space variables
• Periodic stability of solutions to two-phase stefan problems with nonlinear boundary condition
• Multiscale model for moisture transport with adsorption phenomenon in concrete materials

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