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

0502141 - MÚ 2019 RIV DE eng J - Journal Article
Blanc, X. - Ducomet, B. - Nečasová, Šárka
Global existence of a radiative Euler system coupled to an electromagnetic field.
Advances in Nonlinear Analysis. Roč. 8, č. 1 (2019), s. 1158-1170. ISSN 2191-9496. E-ISSN 2191-950X
R&D Projects: GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : compressible * Euler * radiation hydrodynamics
OECD category: Pure mathematics
Impact factor: 2.667, year: 2019
https://www.degruyter.com/view/j/anona.2019.8.issue-1/anona-2017-0117/anona-2017-0117.xml

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.
Permanent Link: http://hdl.handle.net/11104/0294099