一个具有动态条件的Verigin问题
A Verigin Problem with Kinetic Condition
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Abstract: In this paper a Verigin problem with kinetic condition is considered The existence and uniqueness of a classical solulion locally in time of this problem are obtained.
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Key words:
- kinetic condition /
- Verigin problem /
- classical solution
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[1] S.Luckhaus,Solutions of the two-phase stefan problem with the Gibbs-Thomson low for melting temperature,Fur,J.;Ap p1.Mcth,,1 (1990),101-110. [2] O.A,Ladyzenskaaja,Linear and quasi-linear equations of parabolic type,Translation of Mathematical Monographs,American Mathematical Society ProPidenCe,Rhode Island,Translated from the Russian by S,Smith.,23 (1968). [3] A,Friedman,Partial Differential Equations of Parabolic New York(1964). [4] X.Chen and F,Reith,Local existence and uniqueness of solutions of the stefan problem with surface tension and kinetic undercooling,Journal of Mathematical Analysis and Applications,16(1992),35-362.
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