On the piewise smooth solutions to non-homogeneous scalar conservation laws

doi:10.1006/jdeq.2000.3962

科研成果详情

发表状态	已发表Published
题名	On the piewise smooth solutions to non-homogeneous scalar conservation laws
作者	Kan, Yanxiang 1; Tang, Tao2 ; Teng, Zhenhuan 3
发表日期	2001
发表期刊	Journal of Differential Equations
ISSN/eISSN	0022-0396
卷号	175 期号:1 页码:27-50
摘要	We study the structure and smoothness of non-homogeneous convex conservation laws. The question regarding the number of smoothness pieces is addressed. It is shown that under certain conditions on the initial data the entropy solution has only a finite number of discontinuous curves. We also obtain some global estimates on derivatives of the piecewise smooth entropy solution along the generalized characteristics. These estimates play important roles in obtaining the optimal rate of convergence for various approximation methods to conservation laws. © 2001 Academic Press.
关键词	Generalized characteristics Non-homogeneous conservation laws Piecewise smooth solution Shock
DOI	10.1006/jdeq.2000.3962
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000170854800002
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/2057
专题	个人在本单位外知识产出
通讯作者	Kan, Yanxiang
作者单位	1.School of Mathematical Sciences, Peking University, Beijing, 100871, China 2.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong 3.School of Mathematical Sciences, Peking University, Beijing, 100871, China
推荐引用方式 GB/T 7714	Kan, Yanxiang,Tang, Tao,Teng, Zhenhuan. On the piewise smooth solutions to non-homogeneous scalar conservation laws[J]. Journal of Differential Equations, 2001, 175(1): 27-50.
APA	Kan, Yanxiang, Tang, Tao, & Teng, Zhenhuan. (2001). On the piewise smooth solutions to non-homogeneous scalar conservation laws. Journal of Differential Equations, 175(1), 27-50.
MLA	Kan, Yanxiang,et al."On the piewise smooth solutions to non-homogeneous scalar conservation laws". Journal of Differential Equations 175.1(2001): 27-50.