Global three-dimensional solvability the axisimmetric Stefan problem for quasilinear equation

DOI10.47910/FEMJ202206zbMath1496.80005OpenAlexW4283744208MaRDI QIDQ5039328

T. D. Kulesh, V. Ya. Prudnikov, A. G. Podgaev

Publication date: 12 October 2022

Published in: Dal'nevostochnyi Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/dvmg469

zbMATH Keywords

Stefan problemrelative compactnessnon-cylindrical domainunknown boundary

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Applications of functional analysis to differential and integral equations (46N20)

Cites Work

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• The Stefan problem. Translated from the Russian by Marek Niezgódka and Anna Crowley
• Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face
• Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface
• On the global-in-time existence of a generalized solution to a free-boundary problem
• Stefan problem
• Нелокальная задача Стефана для квазилинейного параболического уравнения
• One-phase Stefan problem with a latent heat depending on the position of the free boundary and its rate of change

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