Well-posedness for Multidimensional Scalar Conservation Laws with Discontinuous Flux
نویسنده
چکیده
We obtain a well-posedness result of an entropy solution to a multidimensional scalar conservation law with discontinuous (quasi-homogeneous) flux satisfying crossing conditions, but with no genuine nonlinearity assumptions. The proof is based on the kinetic formulation of the equation under consideration and it does not involve any transformation of the original equation or existence of strong traces. Also, we propose Brenier’s transport-collapse type operator corresponding to the problem under consideration.
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تاریخ انتشار 2011