Global solutions with shock waves to the generalized Riemann problem for a system of hyperbolic conservation laws with linear damping
β Scribed by Zhi-Qiang Shao; De-Xing Kong; Ya-Chun Li
- Book ID
- 108175517
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 218 KB
- Volume
- 325
- Category
- Article
- ISSN
- 0022-247X
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## Abstract This work is a continuation of our previous work. In the present paper, we study the existence and uniqueness of global piecewise __C__^1^ solutions with shock waves to the generalized Riemann problem for general quasilinear hyperbolic systems of conservation laws with linear damping in
## Abstract Using the weak asymptotic method, we approximate a triangular system of conservation laws arising from the soβcalled generalized pressureless gas dynamics by a diagonal linear system. Then, we apply the usual method of characteristics to find approximate solution to the original system.