Abstract
In this paper, following the work of Bjorland et al. (Commun Partial Differ Equ 36:216–246, 2011) we prove the existence, the asymptotic behavior and stability of solutions to the steady state 3D magnetohydrodynamic equations in \(L^{p}\) and \(L^{p,\infty }\), \(3/2<{p}\le {\infty }\) with rough external forces.
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Uddhao, S.V., Raiter, P.D. & Saraykar, R.V. Existence and Stability of \(L^{p}\) Solutions of the Steady State Magnetohydrodynamic Equations with Rough External Forces. Differ Equ Dyn Syst 32, 437–465 (2024). https://doi.org/10.1007/s12591-021-00578-4
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DOI: https://doi.org/10.1007/s12591-021-00578-4