Explicit construction of measure solutions of Cauchy problem for transportation equations

• Published in: Science China. Mathematics Vol. 40; no. 12; pp. 1287 - 1299
• Main Author: 陈绍仲 李杰权 张同
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.12.1997
• Subjects: Cauchy; Cauchy problems; convex; Convexity; delta-shocks; Dirac; equations; Gas dynamics; hull; measure; problem; solution; Transportation
• ISSN: 1674-7283; 1006-9283; 1869-1862; 1862-2763
• DOI: 10.1007/BF02876374

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.It...