On the Cauchy problem of transportation equations

Acta Mathematicae Applicatae Sinica

Volumn 13, Issue 2, 1997, Pages 113-122

  Wang, Zhen ^a,b   Huang, Feimin ^b,c   Ding, Xiaqi ^b,c  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b SHANTOU UNIVERSITY   (China)

^c INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Generalized potential; Generalized solution; Hyperbolic system; Lebesgue Stieltjes integral

Indexed keywords

EID: 0000706872     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/BF02015132     Document Type: Article

References (9)

1. Ding Xiaqi. On a Non-strictly Hyperbolic System. Preprint, Dept. of Math. University of Jyvaskyla, No.167, 1993.
2. Ding Xiaqi and Wang Zhen. Existence and Uniqueness of Discontinuous Solutions Defined by Lebesgue-Stieltjes Integral. Scientica Sinica (Series A), 1996, 39(8): 807-819.
3. A. Forestier and P. LeFloch. Multivalued Solutions to Some Non-linear and Non-strictly Hyperbolic Systems. Japan Journal Indust. Appl. Math., 1992, 9: 1-23.
4. xx. Comm. Pure Appl. Math., 1950, 3: 201-230.
5. Huang Feimin, Li Caizhong and Wang Zhen. Solutions Containing Delta-Waves of Cauchy Problems for a Nonstrictly Hyperbolic System. Acta Mathematicae Applicatae Sinica (English Series), 1995, 11(4): 429-446.
6. Huang Feimin. Existence and Uniqueness of Discontinuous Solutions for A Hyperbolic System. To appear in The Royal Society of Edinburgh.
7. Li Caizhong and Yang Xiaozhou. Riemann Problems of A Class of Non-strictly Hyperbolic Equations. To appear in Acta Mathematicae Applicatae Sinica.
8. Sheng Wangcheng. The Riemann Problem for Transportation Equations in Gas Dynamic. Doctor Thesis, 1995.
9. Tan Dechun, Zhang Tong and Zheng Yuxi. Delta-shock Wave as Limits of Vanishing Viscosity for Hyperbolic Systems of Conservation Laws. J.D.E., 1994, 112(1): 1-32.