Applications of the kinetic formulation for scalar conservation laws with a zero-flux type boundary condition

被引：1
|
作者：
Wang, Zhigang [1 ]
Li, Yachun [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Fuyang Teachers Coll, Dept Math, Fuyang 236029, Anhui, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2012年 / 33卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Scalar conservation laws; Entropy solutions; Kinetic formulation; Uniqueness; Error estimate; PARABOLIC-HYPERBOLIC EQUATIONS; SEDIMENTATION-CONSOLIDATION PROCESSES; ENTROPY SOLUTIONS; WELL-POSEDNESS;
D O I：
10.1007/s11401-012-0714-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors are concerned with a zero-flux type initial boundary value problem for scalar conservation laws. Firstly, a kinetic formulation of entropy solutions is established. Secondly, by using the kinetic formulation and kinetic techniques, the uniqueness of entropy solutions is obtained. Finally, the parabolic approximation is studied and an error estimate of order between the entropy solution and the viscous approximate solutions is established by using kinetic techniques, where eta is the size of artificial viscosity.
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页码：351 / 366
页数：16
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