Preprint 2002-041

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

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.

Paper:

Available as PostScript (288 Kbytes) or gzipped PostScript (82 Kbytes; uncompress using gunzip).

Author(s):

Corradi Lattanzio, <corrado@univaq.it>

Pierangelo Marcati, <marcati@univaq.it>

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Submitted by:

<marcati@univaq.it> July 15 2002.