Existence and continuity of a weak solution to the problem of a free boundary in a concentrated capacity

DOI10.1017/S0308210500013810zbMath0591.35086OpenAlexW2143460429MaRDI QIDQ3719177

Meir Shillor

Publication date: 1985

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500013810

zbMATH Keywords

weak formulationheat fluxchange of phaseoverall heat conduction problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35)

Related Items (2)

Existence and uniqueness of solutions to a concentrated capacity problem with change of phase ⋮ Time discretization schemes for the Stefan problem in a concentrated capacity

Cites Work

• The Existence and Stability of Regions with Superheating in the Classical Two-phase One-dimensional Stefan Problem with Heat Sources
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• The Stefan Problem: Comments on its Present State
• A Model Problem for Heat Conduction with a Free Boundary in a Concentrated Capacity
• Heat Transfer with a Free Boundary Moving Within a Concentrated Thermal Capacity

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