A FREE-BOUNDARY PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF A VISCOUS-GAS

被引：0
|
作者：
WANG, JY
JIANG, J
LU, XR
机构：
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 1993年 / 14卷 / 04期
关键词：
EQUATIONS OF A VISCOUS GAS; FREE BOUNDARY PROBLEM; SELF-SIMILAR SOLUTION; SHOOTING METHOD;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Utilizing the unique solution (w(s),z(s)) to the singular nonlinear two-point boundary value problem (1.11), the authors construct a unique self-similar solution (phi(t),v(x,t),u(x,t)) = (Yt,v(x/t),u(x/t)) to the free boundary problem (1.1)-(1.6), in which (1.1) and (1.2) are one-dimensional equations of a viscous gas. The arguments are elementary which involve only the use of the shooting method and the integral representations for (w(s),z(s)).
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页码：411 / 418
页数：8
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