Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids

Shi Weiwei and Wang Changjia: Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids. (2020)

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Abstract

In this paper we deal with a system of partial differential equations describing a steady motion of an incompressible magnetohydrodynamic fluid, where the extra stress tensor is induced by a potential with p-structure (p = 2 corresponds to the Newtonian case). By using a fixed point argument in an appropriate functional setting, we proved the existence and uniqueness of strong solutions for the problem in a smooth domain Ω ⊂ Rn (n = 2, 3) under the conditions that the external force is small in a suitable norm.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2020
Number: 23
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2020.1.23
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 9-11. ; összefoglalás angol nyelven
Date Deposited: 2020. Jun. 08. 09:07
Last Modified: 2021. Oct. 20. 13:52
URI: http://acta.bibl.u-szeged.hu/id/eprint/69527

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