HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS WITH A SYMMETRY

被引：37

作者：

CHEN, GQ

机构：

[1] Department of Mathematics, The University of Chicago, Chicago, IL

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1991年 / 16卷 / 8-9期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1080/03605309108820806

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Hyperbolic systems of conservation laws with a symmetry are studied. Some peculiar phenomena for such systems are shown. Admissibility criteria for solutions to such systems are discussed. Propagation and cancellation of initial oscillations for the systems are classified. As a byproduct of this study, an L infinity existence theorem of global solutions for the Cauchy problem of the systems is established.

引用

页码：1461 / 1487

页数：27

共 38 条

[31]

SERRE D, 1986, J MATH PURE APPL, V65, P423

[32]

SERRE D, 1987, REND SEM MAT U POLIT, P185

[33] NONUNIQUENESS OF ADMISSIBLE SOLUTIONS OF RIEMANN INITIAL-VALUE PROBLEMS FOR A SYSTEM OF CONSERVATION-LAWS OF MIXED TYPE [J].

SHEARER, M .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 93 (01) :45-59

[34]

Stokes G., 1848, PHILOS MAGAZINE, V33, P349, DOI 10.1080/14786444808646119

[35]

STRUTT JW, 1911, P ROY SOC LOND A MAT, V84, P247

[36]

TARTAR L, 1979, HERIOTWATT S, V4

[37]

Temple B., 1982, ADV APPL MATH, V3, P335

[38]

Zarantonello E. A., 1971, CONTRIBUTIONS NONLIN, P603

← 1 2 3 4 →