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
β¦ LIBER β¦
Breakdown of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems
β Scribed by Weiwei Han
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 438 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Global existence of classical solutions
β
Ta-Tsien Li; Libin B. Wang
π
Article
π
2004
π
Elsevier Science
π
English
β 243 KB
Global solutions of the cauchy problem f
β
Ying Lung-An; Wang Ching-Hua
π
Article
π
1980
π
John Wiley and Sons
π
English
β 503 KB
Blow-up of solutions to the initialβboun
β
Zhi-Qiang Shao
π
Article
π
2008
π
Elsevier Science
π
English
β 462 KB
Global solutions with shock waves to the
β
Zhi-Qiang Shao; De-Xing Kong; Ya-Chun Li
π
Article
π
2006
π
Elsevier Science
π
English
β 259 KB
Global solutions with shock waves to the
β
Zhi-Qiang Shao
π
Article
π
2008
π
John Wiley and Sons
π
English
β 265 KB
π 1 views
## 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