We study the initial value problem for a hyperbolic-elliptic coupled system with L-infinity initial data. We prove global-in-time existence and uniqueness for that model by means of contraction and comparison properties. Moreover, after suitable scalings, we analyze both the hyperbolic-hyperbolic and the hyperbolic-parabolic relaxation limits for the model itself.

Initial value problem and relaxation limits of the Hamer model for radiating gases in several space variables

DI FRANCESCO, MARCO
2007-01-01

Abstract

We study the initial value problem for a hyperbolic-elliptic coupled system with L-infinity initial data. We prove global-in-time existence and uniqueness for that model by means of contraction and comparison properties. Moreover, after suitable scalings, we analyze both the hyperbolic-hyperbolic and the hyperbolic-parabolic relaxation limits for the model itself.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/21266
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