Unbounded solutions for conservation laws with source
β Scribed by R. Natalini
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 832 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0362-546X
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## Abstract We prove some new results concerning the existence and asymptotic behaviour of entropy solutions of hyperbolic conservation laws containing nonβsmooth sourceβterms. Copyright Β© 2002 John Wiley & Sons, Ltd.
The purpose of this paper is to investigate the wave behavior of hyperbolic conservation laws with a moving source. When the speed of the source is close to one of the characteristic speeds of the system, nonlinear resonance occurs and instability may result. We will study solutions with a single tr
Vtr e (0, 1), t β’ (0, T 0, V(x, t) β’ Q~,,
We introduce a new notion of renormalized dissipative solutions for a scalar conservation law u t + div F(u) = f with locally Lipschitz F and L 1 data, and prove the equivalence of such solutions and renormalized entropy solutions in the sense of BΓ©nilan et al. The structure of renormalized dissipat