A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws

被引：91
|
作者：
Natalini, R [1 ]
机构：
[1] CNR, Ist Applicaz Calcolo M Picone, I-00161 Rome, Italy
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 148卷 / 02期
关键词：
D O I：
10.1006/jdeq.1998.3460
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a new relaxation approximation to scalar conservation laws in several space variables by means of semilinear hyperbolic systems of equations with a finite number of velocities. Under a suitable multidimensional generalization of the Whitham relaxation subcharacteristic condition, we show the convergence of the approximated solutions to the unique entropy solution of the equilibrium Cauchy problem. (C) 1998 Academic Press.
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页码：292 / 317
页数：26
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