Large-time solutions of the two-phase Stefan problem with delay

DOI10.1016/0022-247X(92)90028-CzbMath0769.35064OpenAlexW1965091640MaRDI QIDQ1206926

Nobuyuki Kenmochi, Marek Niezgódka, Karl-Heinz Hoffmann

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90028-c

zbMATH Keywords

one-dimensional Stefan problemsglobal in time unique solvabilitytime- dependent Dirichlet data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Free boundary problems for PDEs (35R35)

Cites Work

• Unnamed Item
• Classical solutions of the one-dimensional, two-phase Stefan problem
• General free-boundary problems for the heat equation. III
• A two phase Stefan problem with temperature boundary conditions
• A two phase Stefan problem with flux boundary conditions
• Feedback control via thermostats of multidimensional two-phase Stefan problems
• The Stefan problem with surface tension in the three dimensional case with spherical symmetry: nonexistence of the classical solution
• The Stefan Problem in Several Space Variables
• General One-Phase Stefan Problems and Free Boundary Problems for the Heat Equation with Cauchy Data Prescribed on the Free Boundary

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