On the time-dependent grade-two model for the magnetohydrodynamic flow: 2D case
Analysis of PDEs
2015-06-03 v1
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.
Cite
@article{arxiv.1506.00670,
title = {On the time-dependent grade-two model for the magnetohydrodynamic flow: 2D case},
author = {Igor Kondrashuk and Eduardo A. Notte-Cuello and Mariano Poblete-Cantellano and Marko A. Rojas-Medar},
journal= {arXiv preprint arXiv:1506.00670},
year = {2015}
}
Comments
23 pages