Abstract
This paper is concerned with the existence of universal attractors in $H_{+}^{i}$ ( $i=1,2$ ) for one-dimensional compressible and radiative magnetohydrodynamics equations in a bounded domain $\Omega:=(0,1)$ . In this paper, the author extends the results in (Qin et al. in J. Differ. Equ. 253:1439-1488, 2012).
Highlights
1 Introduction In this paper, we study the existence of universal attractors to the one-dimensional compressible thermally radiative magnetohydrodynamic equations
In order to discuss the existence of a universal attractor in Hδ, we need to prove the following lemma
Summary
We study the existence of universal attractors to the one-dimensional compressible thermally radiative magnetohydrodynamic equations.Magnetohydrodynamics (MHD) is concerned with the study of the interaction between magnetic fields and fluid conductors of electricity. < C– + θ q ≤ κ(ρ, θ ) ≤ C + θ q for q ≥ , Chen and Wang [ ] proved the existence and continuous dependence of global strong solutions with large initial data satisfying
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