## 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
โฆ LIBER โฆ
Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws
โ Scribed by Zhi-Qiang Shao; De-Xing Kong; Ya-Chun Li
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 259 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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In this paper, we consider the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems. Under the assumption that the leftmost (resp. rightmost) eigenvalue is weakly linearly degenerate, we obtain the global existence and uniqueness of C 1 solution with small