The Cauchy-Stefan problem

DOI10.1007/BF01295570zbMath0506.73106MaRDI QIDQ1837038

L. N. Tao

Publication date: 1982

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

exact solutionsarbitrary prescribed initial conditionsconditions for occurenceexpressed in form of infinite seriesfour types of solutions, depending on initial conditionsone-dimensional problem of Stefan typesolidification of two different semi-infinite materialsuniformly and absolutely convergent

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Free boundary problems for PDEs (35R35)

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Cites Work

• The analyticity of solutions of the Stefan problem
• On free boundary problems with arbitrary initial and flux conditions
• ON SOLIDIFICATION PROBLEMS INCLUDING THE DENSITY JUMP AT THE MOVING BOUNDARY
• The Exact Solutions of Some Stefan Problems With Prescribed Heat Flux
• On the material time derivative of arbitrary order
• The Stefan problem with arbitrary initial and boundary conditions
• Free boundary problems with radiation boundary conditions
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