Hydrodynamic Limit of a B.G.K. Like Model on Domains with Boundaries and Analysis of Kinetic Boundary Conditions for Scalar Multidimensional Conservation Laws |
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Authors: | M Tidriri |
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Institution: | 1. Department of Mathematics, ISU, Ames, Iowa, 50011-2064
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Abstract: | In this paper we study the hydrodynamic limit of a B.G.K. like kinetic model on domains with boundaries via BV loc 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 1∩L ∞ with the additional regularity assumptions that the initial data are in BV loc . We also extend our hydrodynamic limit 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. |
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