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Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. (English) Zbl 1222.35060
The authors present some new well-posedness results for multidimensional continuity and transport equations under various assumptions on (generally discontinuous) fields of coefficients. They apply these results to the Cauchy problem for the k×k chromatography and Keifitz-Kranzer systems of conservation laws (in one space dimension) and establish the existence and uniqueness of entropy solutions.
MSC:
35F10Initial value problems for first order linear PDE
35L65Conservation laws