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A convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm's law from a two-fluid model

Part of: Equations of mathematical physics and other areas of application Partial differential equations

Published online by Cambridge University Press:  26 August 2020

Zeng Zhang
Zeng Zhang*
Affiliation:
School of Science, Wuhan University of Technology, Wuhan, 430070, People's Republic of China (zhangzeng534534@163.com)
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Abstract

We show the incompressible Navier–Stokes–Maxwell system with solenoidal Ohm's law can be derived from the two-fluid incompressible Navier–Stokes–Maxwell system when the momentum transfer coefficient tends to zero. The strategy is based on the decay and dissipative properties of the electromagnetic field.

Keywords

Navier–Stokes equationsMaxwell equationsglobal well-posednessasymptotic process

MSC classification

Primary: 35Q30: Navier-Stokes equations
Secondary: 35Q61: Maxwell equations 35A01: Existence problems
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 151 , Issue 3 , June 2021 , pp. 1094 - 1115
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Copyright
Copyright © The Author(s) 2020. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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