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Non-equilibrium-diffusion limit of the compressible Euler radiation model
- Publication Year :
- 2023
-
Abstract
- We justify rigorously the non-equilibrium-diffusion limit of the compressible Euler model coupled with a radiative transfer equation arising in radiation hydrodynamics. For general initial data, we establish the uniform existence of the solution to the coupled model in $\mathbb{T}^{3}$ and prove the convergence of the solutions to the limiting system in the nonequilibrium-diffusion regime. Moreover, the initial layer for the radiative density is constructed to get the strong convergence in $L^\infty$ norm.<br />Comment: 35 pages
- Subjects :
- Mathematics - Analysis of PDEs
76N99, 35M33, 35Q30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2312.15208
- Document Type :
- Working Paper