arXiv subjects

Mariano Poblete-Cantellano

Publications and source records attributed to Mariano Poblete-Cantellano.

2 recordsLinked to original sources

arXiv2019

Periodic solution and asymptotic stability for the magnetohydrodynamic equations with inhomogeneous boundary condition

We show, using the spectral Galerkin method together with compactness arguments, existence and uniqueness of the periodic strong solutions for the magnetohydrodynamics's type equations with inhomogeneous boundary conditions. Also, we study the asymptotic stability for time periodic solution for this system. In particular, when the magnetic field h(x,t) is zero, we obtain existence, uniqueness and asymptotic behavior of the strong solutions to the Navier-Stokes equations with inhomogeneous boundary conditions.

math.AP↗

arXiv2015

On the time-dependent grade-two model for the magnetohydrodynamic flow: 2D case

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 two-dimensional Lipschitz domain. We follow the methodology of Girault and Saadouni (Ref.[3]), i.e , we use a constructive method which can be adapted to the numerical analysis of finite-element schemes for solving this problem numerically.

math.AP↗