Boundary Conditions for Scalar Conservation Laws from a Kinetic Point of View |
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| Authors: | Nouri A Omrane A Vila J P |
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| Institution: | (1) UMR 5585, INSA Lyon, 69621 Villeurbanne Cedex, France;(2) Université des Antilles et de la Guyane, 97159 Pointe à Pitre, Guadeloupe;(3) Institut National des Sciences Appliquées de Toulouse (INSAT), Route de Narbonne, 31077 Toulouse Cedex |
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| Abstract: | Boundary conditions for multidimensional scalar conservation laws are obtained in the context of hydrodynamic limits from a kinetic point of view. The initial boundary value kinetic problem is well posed since inward and outward characteristics of the domain can be distinguished. The convergence of the first momentum of the distribution function to an entropy solution of the conservation law is established. Boundary conditions are obtained. The equivalence with the Bardos, Leroux, and Nedelec conditions is studied. |
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| Keywords: | hydrodynamic limits multidimensional scalar conservation laws kinetic approach Cauchy problem and boundary conditions BV estimates |
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