تقرير
Non-equilibrium-diffusion limit of the compressible Euler radiation model
| العنوان: | Non-equilibrium-diffusion limit of the compressible Euler radiation model |
|---|---|
| المؤلفون: | Ju, Qiangchang, Li, Lei, Zhang, Zhengce |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 76N99, 35M33, 35Q30 |
| الوصف: | 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. Comment: 35 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.15208 |
| رقم الأكسشن: | edsarx.2312.15208 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |