|
|
| |
| Global Existence of the Equilibrium Diffusion Model in Radiative Hydrodynamics |
| |
Citation： |
Chunjin LIN,Thierry GOUDON.Global Existence of the Equilibrium Diffusion Model in Radiative Hydrodynamics[J].Chinese Annals of Mathematics B,2011,32(4):549~568 |
| Page view： 1680
Net amount： 2325 |
Authors： |
Chunjin LIN; Thierry GOUDON; |
Foundation： |
the Fundamental Research Funds for the Central Universities (No. 2009B27514)
and the National Natural Science Foundation of China (No. 10871059). |
|
|
| Abstract： |
This paper is devoted to the analysis of the Cauchy problem for a system of
PDEs arising in radiative hydrodynamics. This system, which comes from the so-called
equilibrium diffusion regime, is a variant of the usual Euler equations, where the energy
and pressure functionals are modified to take into account the effect of radiation and the
energy balance containing a nonlinear diffusion term acting on the temperature. The
problem is studied in the multi-dimensional framework. The authors identify the existence
of a strictly convex entropy and a stability property of the system, and check that the
Kawashima-Shizuta condition holds. Then, based on these structure properties, the wellposedness
close to a constant state can be proved by using fine energy estimates. The
asymptotic decay of the solutions are also investigated. |
Keywords： |
Radiative hydrodynamics, Initial value problem, Equilibrium diffusion
regime, Energy method |
Classification： |
76N10, 35L65, 35L45, 35Q80 |
|
|
Download PDF Full-Text
|
|
|
|
