Generalized solution to a semilinear hyperbolic system with a non-Lipshitz nonlinearity
✍ Scribed by Marko Nedeljkov; Stevan Pilipović
- Publisher
- Springer Vienna
- Year
- 1998
- Tongue
- English
- Weight
- 333 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0026-9255
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## 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
In this paper we show the existence of generalized solutions, in the sense of Colombeau, to a Cauchy problem for a nonconservative system of hyperbolic equations, which has applications in elastodynamics.
The results of this paper are contained in a doctoral thesis submitted to the Graduate School of Arts and Sciences of New York University. Reproduction in whole or in part is permitted for any purpose of the United States Government.