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arXiv · 1506.00670

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

Igor Kondrashuk·Eduardo A. Notte-Cuello·Mariano Poblete-Cantellano·Marko A. Rojas-Medar
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Abstract

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.

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Igor Kondrashuk, Eduardo A. Notte-Cuello, Mariano Poblete-Cantellano, Marko A. Rojas-Medar. 2015-06-01. On the time-dependent grade-two model for the magnetohydrodynamic flow: 2D case. https://arxiv.org/abs/1506.00670

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