Explicit construction of measure solutions of Cauchy problem for transportation equations

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	Explicit construction of measure solutions of Cauchy problem for transportation equations
	Cheng, SZ ; Li, JQ ; Zhang, T
	1997-12-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	40 期号:12 页码:1287-1299
摘要	The transportation equations are a mathematical model of zero-pressure flow in gas dynamics and the adhesion particle dynamics system to explain the formation of large scale structures in the universe. With the help of convex hull of a potential function, the solution is explicitly constructed here. II is straightforward to prove that the solution is a global measure one. And Dirac delta-shocks explained as the concentration of particles may develop in the solution.
关键词	transportation equations Cauchy problem measure solution convex hull Dirac delta-shocks
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:A1997YK88200007
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28929
专题	中国科学院数学与系统科学研究院
通讯作者	Cheng, SZ
作者单位	1.CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA 2.CHINESE ACAD SCI,INST MATH,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Cheng, SZ,Li, JQ,Zhang, T. Explicit construction of measure solutions of Cauchy problem for transportation equations[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1997,40(12):1287-1299.
APA	Cheng, SZ,Li, JQ,&Zhang, T.(1997).Explicit construction of measure solutions of Cauchy problem for transportation equations.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,40(12),1287-1299.
MLA	Cheng, SZ,et al."Explicit construction of measure solutions of Cauchy problem for transportation equations".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 40.12(1997):1287-1299.