%0 Journal Article
%T Periodic Solution and Asymptotic Stability for the Magnetohydrodynamic Equations with Inhomogeneous Boundary Condition
%A Eduardo Alfonso Notte-Cuello
%A Igor Kondrashuk
%A Mariano Poblete-Cantellano
%A Marko Antonio Rojas-Medar
%J -
%D 2019
%R https://doi.org/10.3390/axioms8020044
%X Abstract We show, using the spectral Galerkin method together with compactness arguments, the existence and uniqueness of the periodic strong solutions for the magnetohydrodynamic-type equations with inhomogeneous boundary conditions. Furthermore, we study the asymptotic stability for the time periodic solution for this system. In particular, when the magnetic field h ( x , t ) is zero, we obtain the existence, uniqueness, and asymptotic behavior of the strong solutions to the Navier¨CStokes equations with inhomogeneous boundary conditions. View Full-Tex
%K magnetohydrodynamic equations
%K periodic solutions
%U https://www.mdpi.com/2075-1680/8/2/44