Large time behaviour of solutions of scalar viscous and nonviscous conservation laws

被引：1

作者：

Bertsch, M

Goncerzewicz, J

Hilhorst, D

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

[3] CNRS, F-91405 Orsay, France

[4] Univ Paris Sud, F-91405 Orsay, France

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 03期

关键词：

degenerate nonlinear diffusion with convection; entropy solution; large time behaviour; Riemann problem; self-similar variable;

D O I：

10.1016/S0893-9659(98)00177-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the large time behaviour of entropy solutions of the Cauchy problem for a possibly degenerate nonlinear diffusion equation with a nonlinear convection term. The initial function is assumed to have bounded total variation. We prove the convergence of the solution to the entropy solution of a Riemann problem for the corresponding first-order conservation law. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：83 / 87

页数：5

共 16 条

[1]

[Anonymous], 1968, TRANSLATIONS MATH MO

[2]

BENILAN P, 1984, CR ACAD SCI I-MATH, V299, P919

[3]

DiBenedetto E., 1995, PARTIAL DIFFERENTIAL, DOI [10.1007/978-1-4899-2840-5, DOI 10.1007/978-1-4899-2840-5]

[4] A DIFFUSION-CONVECTION EQUATION IN SEVERAL SPACE DIMENSIONS [J].

ESCOBEDO, M ;

VAZQUEZ, JL ;

ZUAZUA, E .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1993, 42 (04) :1413-1440

[5]

Gagneux G., 1996, ANAL MATH MODELES NO

[6]

Il'in A. M., 1960, Mat. Sb. (N.S.), V51, P191

[7]

ILIN A. M., 1958, DOKL AKAD NAUK SSSR, V120, P25

[8]

ILIN AM, 1964, AM MATH SOC TRANSL, V42, P19

[9]

Kruzhkov SN, 1970, MAT SBORNIK, V81, P228

[10]

Malek J., 1996, WEAK MEASURE VALUED

← 1 2 →