Explicit construction of measure solutions of Cauchy problem for transportation equations

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 40, Issue 12, 1997, Pages 1287-1299

  Cheng, Shaozhong ^a   Li, Jiequan ^b   Zhang, Tong ^c  

^a NINGBO UNIVERSITY   (China)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Cauchy problem; Convex hull; Dirac delta shocks; Measure solution; Transportation equations

Indexed keywords

EID: 0000349573     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02876374     Document Type: Article

References (7)

1. xx, Comm. Pure Appl. Math., 1950, 3:201.
2. Lax, P. D., Hyperbolic systems of conservation law II, Comm. Pure Appl. Math., 1957, 10:537.
3. Shandarin, S. F., Zeldovich, Y, B., The large-scale structure of the universe: Turbulence, intermittency, structures in a self-gravitating medium, Rev. Mod. Phys., 1989, 61:185.
4. E Weinan, Rykov, Yu. G., Sinai, Y. G., Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics, Comm. Math. Phys., 1996, 177:349.
5. Tan, D., Zhang, T., Two dimensional Riemann problem for a hyperbolic system of nonlinear conservation laws ( I ), J. Diff. Equat., 1994, 111:203.
6. Tan, D., Zhang, T., Zheng, Y., Delta-shock waves as limits of vanishing viscosity for hyperbolic system of conservation laws, J. Diff. Equat., 1994, 112:1.
7. Ding, X., Wang, Z., Existence and uniqueness of discontinuous solutions defined by Legesgue-Stieltjes integral, Science in China, Ser. A, 1996, 39(8):807.