Global existence of a radiative Euler system coupled to an electromagnetic field

Advances in Nonlinear Analysis

article

Xavier Blanc¹  Bernard Ducomet²  Šárka Nečasová³ 

[1] Laboratoire Jacques-Louis Lions, Université Paris Diderot;Université Paris-Est;Institute of Mathematics of the Academy of Sciences of the Czech Republic

关键词: Compressible;    Euler;    radiation hydrodynamics;   

DOI  :  10.1515/anona-2017-0117

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely, the 3D radiative compressible Euler system coupled to an electromagnetic field. Assuming smallness hypotheses for the data, we prove that the problem admits a unique global smooth solution and study its asymptotics.

【 授权许可】

CC BY