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math.AP2015★ 1 cited
Periodic solution and asymptotic stability for the magnetohydrodynamic equations with inhomogeneous boundary condition
Igor Kondrashuk, Eduardo A. Notte-Cuello, Mariano Poblete-Cantellano +1
We show, using the spectral Galerkin method together with compactness arguments, existence and uniqueness of the periodic strong solutions for the magnetohydrodynamics's type equat…
math.AP2015
On the time-dependent grade-two model for the magnetohydrodynamic flow: 2D case
Igor Kondrashuk, Eduardo A. Notte-Cuello, Mariano Poblete-Cantellano +1
In this paper we discuss the MHD flow of a second grade fluid, in particular we prove the existence and uniqueness of a weak solution of a time-dependent grade two fluid model in a…