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The pointwise estimates of solutions for a model system of the radiating gas in multi-dimensions

✍ Scribed by Weike Wang; Wenjun Wang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
795 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we study the time-asymptotic behavior of solutions for a hyperbolic-elliptic coupled system known as a model system of the radiating gas in R n . When the initial perturbation corresponding to a positive constant state is sufficiently small in H s (R n ), the global existence and pointwise estimates of the solution are obtained by using the method of the Green function combined with some energy estimates. Furthermore, we obtain the L p , 1 ≀ p ≀ +∞, convergence rate of the solution.

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