Initial-boundary value problems for nonlinear systems of conservation laws

被引：80

作者：

Amadori, Debora ^{[1
]}

机构：

[1] SISSA, ISAS, I-34014 Trieste, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 1997年 / 4卷 / 01期

关键词：

Boundary Condition; Total Variation; Nonlinear System; Distinct Type; Global Existence;

D O I：

10.1007/PL00001406

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The system of conservation laws u(t) + [f(u)](x) = 0 (1) is considered on a domain {(t, x); t >= 0, x > Psi (t)}, for a continuous map Psi : [0; infinity) -> R, subject to the initial condition u(0, x) = u(x), x > Psi (0). (2) We prove two global existence theorems for (1) - (2) for two distinct types of boundary conditions, with data of small total variation.

引用

页码：1 / 42

页数：42

共 11 条

[1]

[Anonymous], THESIS CALIFORNIA U

[2] GLOBAL-SOLUTIONS OF SYSTEMS OF CONSERVATION-LAWS BY WAVE-FRONT TRACKING [J].