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Local and global solutions of the Stefan-type problem

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Publication:1167352
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DOI10.1016/0022-247X(81)90197-9zbMath0491.35085MaRDI QIDQ1167352

Krzysztof Tabisz

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

existenceuniquenessmoving boundary problemglobal solutionslocal solutionspressure distributionqualitative studynonlinear system of integral equationsGreen's function for the heat equationposition of a freely moving pistonStephan-type problems


Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Heat equation (35K05) Free boundary problems for PDEs (35R35)


Related Items

Galerkin method for a Stefan-type problem in one space dimension ⋮ On the free boundary problem in the Wen-Langmuir shrinking core model for noncatalytic gas-solid reactions



Cites Work

  • On optimal stopping and free boundary problems
  • General free-boundary problems for the heat equation. I
  • A class of parabolic quasi-variational inequalities. II
  • Convexity of the free boundary in the Stefan problem and in the dam problem
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