MULTIDIMENSIONAL 2-PHASE QUASI-STATIONARY STEFAN PROBLEM

被引:3
作者
ZALTZMAN, B
机构
[1] Novosibirsk State University, Novosibirsk
关键词
D O I
10.1007/BF02599314
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Existence and uniqueness of the classic solution to a two-dimensional quasistationary Stefan problem are considered. The family of model problems dependent on the parameter epsilon > 0 which defines a heat conductivity of a matter in the direction of the x-axis is analysed. When epsilon --> 0 it is approximated by the approximate model problem having less dimensions. Analogous results are also valid for a three-dimensional problem.
引用
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页码:287 / 301
页数:15
相关论文
共 14 条
[1]  
BASALIY B, 1976, DOKLADY AKADEMII N A, P3
[2]  
BENTO L, 1986, P ROY SOC EDINB A, V102, P263
[3]  
BORODIN MA, 1982, DOPOV AKAD NAUK A, P3
[4]  
DANILYUK II, 1984, DOPOV AKAD NAUK A, P13
[5]  
GETZ I, 1986, EXISTENCE GENERALIZE
[6]  
Ladyzhenskaya O., 1967, LINEAR QUASILINEAR E
[7]  
LADYZHENSKAYA OA, 1966, LINEAR QUASILINEAR E
[8]  
MEIRMANOV A, 1984, STEFAN PROBLEM
[9]  
NOCHETTO R, 1987, COMMUNICATIONS PARTI, V12
[10]  
RADKEVICH E, 1982, DOKLADY ADADEMII NAU, V256, P58