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Stefan-type free boundary problems for heat equations

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Publication:1846038
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DOI10.2977/prims/1195192440zbMath0286.35041OpenAlexW1985317031MaRDI QIDQ1846038

Hideo Kawarada

Publication date: 1974

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195192440



Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05)


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A free boundary problem with two moving boundaries modeling grain hydration ⋮ Existence and uniqueness of a solution of the problem with free boundary in the theory of filtration consolidation of soils with regard for the influence of technogenic factors



Cites Work

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  • On the numerical integration of a parabolic differential equation subject to a moving boundary condition
  • A difference scheme for solving the Stefan problem
  • Free boundary problem for the heat equation with applications to problems of change of phase. I. General method of solution
  • A Uniqueness Theorem for the Solution of a Stefan Problem
  • A free boundary value problem for the heat equation
  • A note on the existence of a solution to a problem of Stefan
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