Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids
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 a...
Elmentve itt :
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Dokumentumtípus: | Folyóirat |
Megjelent: |
2020
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Sorozat: | Electronic journal of qualitative theory of differential equations
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Kulcsszavak: | Differenciálegyenlet |
doi: | 10.14232/ejqtde.2020.1.23 |
Online Access: | http://acta.bibl.u-szeged.hu/69527 |
Tartalmi kivonat: | 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. |
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ISSN: | 1417-3875 |