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

被引：92

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.

引用

页码：292 / 317

页数：26

共 46 条

[1]

[Anonymous], 1996, DIFFER INTEGRAL EQU, DOI DOI 10.57262/DIE/1367846901

[2]

[Anonymous], 1970, MATH USSR SB

[3]

Aregba-Driollet D., 1996, APPL ANAL, V61, P163

[4]

AREGBADRIOLLET D, 1997, 22 IAC

[5] A kinetic formulation for multi-branch entropy solutions of scalar conservation laws [J].

Brenier, Y ;

Corrias, L .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1998, 15 (02) :169-190

[6] SOLUTION OF QUASILINEAR EQUATION IN N-DIMENSIONAL SPACE USING LINEAR-EQUATIONS IN DIMENSION N+1 [J].

BRENIER, Y .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 50 (03) :375-390

[7]

BRENIER Y, 1992, PUBL LAB ANAL NUMERI

[8]

CARFLISCH R, 1979, COMMUN PUR APPL MATH, V32, P589

[9]

Cercignani C, 1988, BOLTZMANN EQUATION I

[10]

Cercignani C, 1994, MATH THEORY DILUTE G

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