Global classical solution of quasi-stationary Stefan free boundary problem |
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Authors: | Fahuai Yi |
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Affiliation: | Department of Mathematics, South China Normal University, Shipai, Guangzhou 510631, China |
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Abstract: | We consider an one-phase quasi-stationary Stefan problem (Hele–Shaw problem) in multidimensional case. Under some reasonable conditions we prove that the problem has a classical solution globally in time. The method can be used in two-phase problem as well. We also discuss asymptotic behavior of solution as t→+∞. The method developed here can be extended to a general class of free boundary problems. |
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Keywords: | Global classical solution Quasi-stationary Stefan problem |
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