Quasi-stationary Stefan problem as limit case of Mullins-Sekerka problem

DOI10.1007/BF02874434zbMath0883.35137MaRDI QIDQ1368268

Youshan Tao, Fa-huai Yi, Zu Han Liu

Publication date: 23 March 1998

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Mullins-Sekerka problemHele-Shaw problemimmiscible fluidsquasi-stationary Stefan problemexistence of a local classical solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Combustion (80A25) Free boundary problems for PDEs (35R35)

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Cites Work

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• The Hele--Shaw problem and area-preserving curve-shortening motions
• Classical solutions of the Stefan problem
• Compact sets in the space \(L^ p(0,T;B)\)
• Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling
• On the Weak Solution of Moving Boundary Problems
• L^pand Hölder estimates for a class fo degenerate elliptic boundary value problems Application to the Monge–Amp ére equation
• On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows

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