The entropy solution of a hyperbolic-parabolic mixed type equation

被引：2
作者：
Zhan, Huashui [1 ]
机构：
[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China
来源：
SPRINGERPLUS | 2016年 / 5卷
关键词：
Hyperbolic-parabolic mixed type equation; n-dimensional cube; Entropy solution; Kruzkov's bi-variables method; BOUNDARY-VALUE PROBLEM; CAUCHY-PROBLEM; UNIQUENESS; STABILITY;
D O I：
10.1186/s40064-016-3374-z
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The entropy solution of the equation partial derivative u/partial derivative t = Delta A(u) + div(b(u)), (x,t) epsilon Omega x (0,T), is considered. Besides the usual initial value, only a partial boundary value is imposed. By choosing some special test functions, the stability of the solutions is obtained by Kruzkov's bi- variables method, provided that Omega subset of R-N is an unit n-dimensional cube or the half space.
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页数：13
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