Preprint 2002-029

A Discrete BGK Approximation for Strongly Degenerate Parabolic Problems with Boundary Conditions

F.R. Guarguaglini, V. Milisic, and A. Terracina

Abstract: We consider a class of BGK systems with a finite number of velocities, depending on a positive relaxation parameter, that approximate strongly degenerate hyperbolic--parabolic equations with initial boundary condition. We prove a priori estimates for the solutions of the systems, showing that these functions converge towards the entropy solutions of strongly degenerate problems when the parameter let to zero

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F.R. Guarguaglini, <>
V. Milisic, <>
A. Terracina, <>
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<> May 31 2002.

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