Regular solutions of a Stefan problem in strips

DOI10.1007/BF01782611zbMath0941.35131OpenAlexW1978953956MaRDI QIDQ1817909

Boris Zaltzman, José-Francisco Rodrigues

Publication date: 4 January 2000

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01782611

zbMATH Keywords

solidificationasymptotic convergencemushy regioncontinuous casting problemHölder regularity in timeLipschitz regularity in space

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35)

Related Items (1)

A stationary flow in a strip

Cites Work

• Continuity of weak solutions to certain singular parabolic equations
• Multidimensional two-phase quasistationary Stefan problem
• Regularity of the free boundary in parabolic phase-transition problems
• Caloric functions in Lipschitz domains and the regularity of solutions to phase transition problems
• On a two-phase continuous casting Stefan problem with nonlinear flux
• On the Stefan problem
• Periodic behaviour for the evolutionary dam problem and related free boundary problems Evolutionary dam problem
• A class of non-degenerate two-phase stefan problems in several space variables
• Weak Solutions to Stefan Problems with Prescribed Convection
• On the Existence of Weak-Solutions to an n-Dimensional Stefan Problem with Nonlinear Boundary Conditions
• Nonincrease of mushy region in a nonhomogeneous Stefan problem
• On classical solutions of the two-phase steady-state Stefan problem in strips
• Strömungen durch inhomogene poröse Medien mit freiem Rand.
• Some results on the multi-phase stefan problem
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