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Explicit construction of measure solutions of Cauchy problem for transportation equations
Cheng, SZ; Li, JQ; Zhang, T
1997-12-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume40Issue:12Pages:1287-1299
AbstractThe 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.
Keywordtransportation equations Cauchy problem measure solution convex hull Dirac delta-shocks
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:A1997YK88200007
PublisherSCIENCE CHINA PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28929
Collection中国科学院数学与系统科学研究院
Affiliation1.CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA
2.CHINESE ACAD SCI,INST MATH,BEIJING 100080,PEOPLES R CHINA
Recommended Citation
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.
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