Preprint 2002-041

Global Well-Posedness and Relaxation Limits of a Model for Radiating Gas

Corradi Lattanzio and Pierangelo Marcati

Abstract: We study the initial value problem for a hyperbolic--elliptic coupled system with arbitrary large discontinuous initial data. We prove existence and uniqueness for that model by means of $L^{1}$ contraction and comparison properties. Moreover, after suitable scalings, we study both the hyperbolic--parabolic and the hyperbolic--hyperbolic relaxation limits for that system.

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Corradi Lattanzio, <>
Pierangelo Marcati, <>
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<> July 15 2002.

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