A Semigroup Approach to W1,∞-Solutions to a Class of Quasilinear Hyperbolic Systems
✍ Scribed by F. Jochmann
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 478 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
## 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 We study a semilinear hyperbolic system with relaxation and investigate the asymptotic stability of travelling wave solutions with shock profile. It is shown that the travelling wave solution is asymptotically stable, provided the initial disturbance is suitably small. Moreover, we show
## Abstract This paper is concerned with the existence and concentration of positive solutions for the following quasilinear equation The proof relies on variational methods by using directly the functional associated with the problem in an appropriate Sobolev space. It was found a family of solut