Time-Periodic Solutions of Advection-Diffusion Equations on Moving Hypersurfaces

DOI10.1137/140977060zbMath1320.35021arXiv1407.2786OpenAlexW1732273202MaRDI QIDQ5264068

Charles M. Elliott, Hans Fritz

Publication date: 20 July 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2786

zbMATH Keywords

Hölder spacesperiodically moving \(n\)-dimensional hypersurface

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01)

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Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation

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