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

Abstract

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.

Keywords

• compressible
• euler
• radiation hydrodynamics
• 35q30
• 76n10