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A Theory ofL1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux

✍ Scribed by Boris Andreianov; Kenneth Hvistendahl Karlsen; Nils Henrik Risebro

Publisher
Springer
Year
2011
Tongue
English
Weight
779 KB
Volume
201
Category
Article
ISSN
0003-9527

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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.