Delta-Shock Waves as Limits of Vanishing Viscosity for Hyperbolic Systems of Conservation Laws
β Scribed by D.C. Tan; T. Zhang; T. Chang; Y.X. Zheng
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 841 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We introduce a simple model of two conservation laws which is strictly hyperbolic except for a degenerate parabolic line in the state space. Besides classical shock waves, it also exhibits overcompressive, marginal overcompressive, and marginal undercompressive shock waves. Our purpose is to study t
## Abstract Using the weak asymptotic method, we approximate a triangular system of conservation laws arising from the soβcalled generalized pressureless gas dynamics by a diagonal linear system. Then, we apply the usual method of characteristics to find approximate solution to the original system.
## Abstract In this paper, we study the interaction of elementary waves including deltaβshock waves on a boundary for a hyperbolic system of conservation laws. A boundary entropy condition is derived, thanks to the results of Dubois and Le Floch (__J. Differ. Equations__ 1988; **71**:93β122) by tak