Two-phase heat conductors with a stationary isothermic surface and their related elliptic overdetermined problems

zbMath1458.35282arXiv1705.10628MaRDI QIDQ5151112

Shigeru Sakaguchi

Publication date: 16 February 2021

Full work available at URL: https://arxiv.org/abs/1705.10628

zbMATH Keywords

symmetryheat equationdiffusion equationtwo dimensionstransmission conditionstationary isothermic surfacetwo-phase heat conductorelliptic overdetermined problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Initial value problems for second-order parabolic equations (35K15) Symmetries, invariants, etc. in context of PDEs (35B06) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (4)

Why are the solutions to overdetermined problems usually ``as symmetric as possible? ⋮ A symmetry theorem in two-phase heat conductors ⋮ Symmetry breaking solutions for a two-phase overdetermined problem of Serrin-type ⋮ Some characterizations of parallel hyperplanes in multi-layered heat conductors

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