The analyticity of solutions of the Stefan problem

DOI10.1007/BF00281593zbMath0416.35017MaRDI QIDQ754378

L. N. Tao

Publication date: 1980

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

analyticity of the solutionsarbitrarily prescribed initial and boundary conditionsexistence and convergence of series solutionsStefan problem of a semi-infinite body

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Heat equation (35K05) Series solutions to PDEs (35C10) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• On free boundary problems with arbitrary initial and flux conditions
• Analyticity of the free boundary for the Stefan problem
• ON SOLIDIFICATION PROBLEMS INCLUDING THE DENSITY JUMP AT THE MOVING BOUNDARY
• 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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