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Topological Methods in Nonlinear Analysis

Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field
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Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field

Authors

  • Xavier Blanc
  • Bernard Ducomet
  • Šárka Nečasová

Keywords

Compressible, Euler, magnetohydrodynamics, radiation hydrodynamics

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 through the MHD approximation. Assuming the presence of damping together with suitable smallness hypotheses for the data, we prove that this problem admits a unique global smooth solution.

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Published

2018-08-04

How to Cite

1.
BLANC, Xavier, DUCOMET, Bernard and NEČASOVÁ, Šárka. Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field. Topological Methods in Nonlinear Analysis. Online. 4 August 2018. Vol. 52, no. 1, pp. 285 - 309. [Accessed 5 July 2025].
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