Hydrodynamic Limit of a B.g.k. like Model on Domains with Boundaries and Analysis of Kinetic Boundary Conditions for Scalar Multidimensional Conservation Laws
نویسنده
چکیده
Abstract. In this paper we study the hydrodynamic limit of a B.G.K. like kinetic model on domains with boundaries via BVloc theory. We obtain as a consequence existence results for scalar multidimensional conservation laws with kinetic boundary conditions. We require that the initial and boundary data satisfy the optimal assumptions that they all belong to L ∩L∞ with the additional regularity assumptions that the initial data are in BVloc. We also extend our hydrodynamic analysis to the case of a generalized kinetic model to account for forces effects and we obtain as a consequence the existence theory for conservation laws with source terms and kinetic boundary conditions.
منابع مشابه
A Kinetic Formulation for Multidimensional Scalar Conservation Laws with Boundary Conditions and Applications
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