Initial value problem and relaxation limits of the hamer model for radiating gases in several space variables |
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Authors: | Marco di Francesco |
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Institution: | (1) Dipartimento di Matematica Pura ed Applicata, Via Vetoio, Loc. Coppito, 67100 L’Aquila, Italy |
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Abstract: | We study the initial value problem for a hyperbolic-elliptic coupled system with L
∞ 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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Keywords: | 35L65 35B05 35B30 35B40 35Q35 |
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