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Conservation laws with continuous flux functions

✍ Scribed by Philippe Bénilan; Stanislzav Kružkov

Book ID
105112140
Publisher
SP Birkhäuser Verlag Basel
Year
1996
Tongue
English
Weight
905 KB
Volume
3
Category
Article
ISSN
1021-9722

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L1-Theory of Scalar Conservation Law with Continuous Flux Function
✍ Boris P. Andreianov; Philippe Bénilan; Stanislav N. Kruzhkov 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 221 KB

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.