Scalar non-linear conservation laws with integrable boundary data
β Scribed by Fabio Ancona; Andrea Marson
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 185 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We consider the asymptotic stability of viscous shock wave , for scalar viscous conservation laws Our problem is divided into three cases depending on the sign of shock speed s of the shock (u & , u + ). When s 0, the asymptotic state of u becomes ,( } +d(t)), where d(t) depends implicitly on the i
## Abstract In this paper we prove an explicit representation formula for the solution of a oneβdimensional hyperbolic conservation law with a nonβconvex flux function but monotone initial data. This representation formula is similar to those of Lax [10] and Kunik [7,8] and enables us to compute th