Mathematical analysis of a scalar multidimensional conservation law with discontinuous flux
β Scribed by Julien Jimenez
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 317 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1424-3199
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## Abstract For the scalar conservation laws with discontinuous flux, an infinite family of (__A, B__)βinterface entropies are introduced and each one of them is shown to form an __L__^1^βcontraction semigroup (see [2]). One of the main unsettled questions concerning conservation law with discontin
Uniqueness of a generalized entropy solution (g.e.s.) to the Cauchy problem for N-dimensional scalar conservation laws u t +div x ,(u)= g, u(0, } )= f with continuous flux function , is still an open problem. For data ( f, g) vanishing at infinity, we show that there exist a maximal and a minimal g.