Preprint 2000-025

Solution with Finite Energy to a BGK System Relaxing to Isentropic Gas Dynamics

Florent Berthelin and Francois Bouchut

Abstract: We consider a vector kinetic BGK equation leading to isentropic gas dynamics in the relaxation limit. We prove the existence of a weak solution satisfying a kinetic entropy inequality for any initial data with finite energy.

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Florent Berthelin, <>
Francois Bouchut, <>
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<> June 13 2000.

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