具张弛的拟线性双曲守恒律方程组

数学季刊 ›› 2007, Vol. 22 ›› Issue (1): 143-154.

具张弛的拟线性双曲守恒律方程组

Department of Mathematics,North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China

收稿日期:2006-01-30 出版日期:2007-03-30 发布日期:2023-11-16
作者简介:LIU Fa-gui(1965-),male,native of Zhengzhou,Henan,a professor North China Institute of Water Conservancy and Hydroelectric Power,Ph.D.,engages in differential equations.
基金资助:
Supported by the NSF of China(t0571024)； Supported by the NSF of Henan Province(200511051700)； Supported by the NSF of Educational Department of Henan Province(200510078005)；

Quasilinear Hyperbolic Conservation Laws with Relaxation

Department of Mathematics,North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China

Received:2006-01-30 Online:2007-03-30 Published:2023-11-16
About author:LIU Fa-gui(1965-),male,native of Zhengzhou,Henan,a professor North China Institute of Water Conservancy and Hydroelectric Power,Ph.D.,engages in differential equations.
Supported by:
Supported by the NSF of China(t0571024)； Supported by the NSF of Henan Province(200511051700)； Supported by the NSF of Educational Department of Henan Province(200510078005)；

摘要/Abstract

摘要： In this paper,we investigate the relaxation phenomenon for quasilinear hyper- bolic conservation laws,and obtain global smooth solutions and the life span of classical solutions to its Canchy problem.These results shows that the relaxation admits the effects of dissipation.

关键词: conservation laws, relaxation, dissipation, global classical solution, life span

Abstract: In this paper,we investigate the relaxation phenomenon for quasilinear hyper- bolic conservation laws,and obtain global smooth solutions and the life span of classical solutions to its Canchy problem.These results shows that the relaxation admits the effects of dissipation.

Key words: conservation laws, relaxation, dissipation, global classical solution, life span

中图分类号:

： O175.27

刘法贵, 张愿章. 具张弛的拟线性双曲守恒律方程组[J]. 数学季刊, 2007, 22(1): 143-154.

LIU Fa-gui, ZHANG Yuan-zhang . Quasilinear Hyperbolic Conservation Laws with Relaxation[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(1): 143-154.

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