Remarks on the quasi-steady one phase Stefan problem

DOI10.1017/S0308210500026354zbMath0608.35081OpenAlexW2318395580MaRDI QIDQ3748683

José-Francisco Rodrigues, Bento Louro

Publication date: 1986

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/s0308210500026354

zbMATH Keywords

regularityrate of convergencevariational inequalitiesHölder continuityone phase Stefan problemzero specific heat

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) Free boundary problems for PDEs (35R35)

Related Items (7)

The variational inequality approach to the one-phase Stefan problem ⋮ Convergence of the porous media equation to Hele-Shaw ⋮ Predicting Lift-Off Time When Deep-Frying Potato Dough Snacks ⋮ Multidimensional two-phase quasistationary Stefan problem ⋮ Homogenization of the Hele-Shaw problem in periodic spatiotemporal media ⋮ Boundary layer formation in the transition from the porous media equation to a Hele-Shaw flow. ⋮ Asymptotic convergence of the Stefan problem to Hele-Shaw

Cites Work

• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
• On a Variational Inequality Formulation of an Electrochemical Machining Moving Boundary Problem and its Approximation by the Finite Element Method
• A variational inequality approach to Hele-Shaw flow with a moving boundary
• SOLUTIONS WITH COMPACT SUPPORT OF VARIATIONAL INEQUALITIES
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