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Mathematical formulation of the Stefan problem

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Publication:1837079
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DOI10.1016/0020-7225(82)90109-4zbMath0506.76103OpenAlexW2064681898MaRDI QIDQ1837079

Ralph E. Showalter

Publication date: 1982

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(82)90109-4


zbMATH Keywords

Stefan problemsolid-liquid phase changemelting temperatureinternally distributed sources of heatmulti- valued Heaviside function


Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99)


Related Items (4)

Solvability of doubly nonlinear parabolic equation with \(p\)-Laplacian ⋮ The super-Stefan problem ⋮ Solution of the time discretized Stefan problem by Newton's method ⋮ Evolution of phase transitions in methane hydrate



Cites Work

  • Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type
  • Implicit Degenerate Evolution Equations and Applications
  • Nonlinear equations of evolution and a generalized Stefan problem
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