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On the Existence, Uniqueness and Regularity of Solutions for a Class of MHD Equations of Non-Newtonian Type

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In this paper, we consider a steady MHD fluid model of non-Newtonian type in a smooth bounded domain $$\Omega \in {\mathbb {R}}^3$$ . Using the iterative method, under the condition… Click to show full abstract

In this paper, we consider a steady MHD fluid model of non-Newtonian type in a smooth bounded domain $$\Omega \in {\mathbb {R}}^3$$ . Using the iterative method, under the condition that the external force is small in a suitable sense, we proved the existence of $$C^{1,\gamma }({\bar{\Omega }})\times W^{2,r}(\Omega )$$ solutions of the systems for the exponent $$1

Keywords: mhd; existence uniqueness; regularity; non newtonian; newtonian type

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020

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