Existence and regularity theorems for a two-phase degenerate stefan problem with convection

DOI10.1080/00036819308840214zbMath0795.35151OpenAlexW2009528986MaRDI QIDQ4291819

Xiangsheng Xu

Publication date: 15 May 1994

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819308840214

zbMATH Keywords

degenerate Stefan problemregularity of the free boundaryexistence of a classical solution

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35)

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A free boundary problem arising from reproductive toxic mass spreading ⋮ Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder's estimates for a degenerate parabolic problem with dynamic boundary conditions

Cites Work

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• A diffusion problem involving two free boundaries
• On the existence of the weak solution and the regularity of the free boundary to a one-dimensional two-phase degenerate Stefan problem
• Nonstationary filtration in partially saturated porous media
• On the regularity of weak solutions of a one-dimensional two-phase degenerate Stefan problem with convection
• Regularity of weak solutions of one-dimensional two-phase Stefan problems
• Regularity results for a one-dimensional two-phase degenerate Stefan problem
• On the Weak Solution of Moving Boundary Problems
• The Existence and Stability of Regions with Superheating in the Classical Two-phase One-dimensional Stefan Problem with Heat Sources
• Hölder Continuity of Solutions of Parabolic Equations

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