KMS Of Academy of mathematics and systems sciences, CAS
Explicit construction of measure solutions of Cauchy problem for transportation equations | |
Cheng, SZ; Li, JQ; Zhang, T | |
1997-12-01 | |
Source Publication | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY |
ISSN | 1006-9283 |
Volume | 40Issue:12Pages:1287-1299 |
Abstract | 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. |
Keyword | transportation equations Cauchy problem measure solution convex hull Dirac delta-shocks |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:A1997YK88200007 |
Publisher | SCIENCE CHINA PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/28929 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Cheng, SZ |
Affiliation | 1.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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