Existence of global bounded weak solutions to a symmetric system of Keyfitz-Kranzer type

被引:20
作者
Lu, Yun-guang [1 ]
机构
[1] Hangzhou Normal Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China
关键词
Conservation laws; Compensated compactness; Keyfitz-Kranzer system; Entropy solution; HYPERBOLIC CONSERVATION-LAWS; SPACE DIMENSIONS; WELL-POSEDNESS; CAUCHY-PROBLEM; CHROMATOGRAPHY;
D O I
10.1016/j.nonrwa.2011.07.029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we use the compensated compactness method with By estimates on the Riemann invariants to obtain the global existence of bounded entropy weak solutions for the Cauchy problem of a symmetric system of Keyfitz-Kranzer type. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:235 / 240
页数:6
相关论文
共 16 条
[1]   Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions [J].
Ambrosio, L ;
Bouchut, F ;
De Lellis, C .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (9-10) :1635-1651
[2]   SOME NEW WELL-POSEDNESS RESULTS FOR CONTINUITY AND TRANSPORT EQUATIONS, AND APPLICATIONS TO THE CHROMATOGRAPHY SYSTEM [J].
Ambrosio, Luigi ;
Crippa, Gianluca ;
Figalli, Alessio ;
Spinolo, Laura V. .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2009, 41 (05) :1890-1920
[3]  
Bressan A, 2003, REND SEMIN MAT U PAD, V110, P103
[4]  
Bressan A, 2000, DISCRET CONTIN DYN S, V6, P21
[5]   HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS WITH A SYMMETRY [J].
CHEN, GQ .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (8-9) :1461-1487
[6]   ON THE CAUCHY-PROBLEM FOR A CLASS OF HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS [J].
FREISTUHLER, H .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 112 (01) :170-178
[7]  
JAMES F, 1995, J MATH PURE APPL, V74, P367
[8]   Existence of weak solutions to a class of nonstrictly hyperbolic conservation laws with non-interacting waves [J].
Kearsley, AJ ;
Reiff, AM .
PACIFIC JOURNAL OF MATHEMATICS, 2002, 205 (01) :153-170
[9]   A SYSTEM OF NON-STRICTLY HYPERBOLIC CONSERVATION-LAWS ARISING IN ELASTICITY THEORY [J].
KEYFITZ, BL ;
KRANZER, HC .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1980, 72 (03) :219-241
[10]   ON A NONSTRICTLY HYPERBOLIC SYSTEM OF CONSERVATION-LAWS [J].
LIU, TP ;
WANG, CH .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 57 (01) :1-14