Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space
This paper is concerned with time decay rates of the strong solutions of an incompressible the coupled modified Navier-Stokes and Maxwell equations in a half space $ \mathbb{R}^3_+ $. With the use of the spectral decomposition of the Stokes operator and $ L^p-L^q $ estimates developed by Borchers an...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021777?viewType=HTML |
| Summary: | This paper is concerned with time decay rates of the strong solutions of an incompressible the coupled modified Navier-Stokes and Maxwell equations in a half space $ \mathbb{R}^3_+ $. With the use of the spectral decomposition of the Stokes operator and $ L^p-L^q $ estimates developed by Borchers and Miyakawa <sup>[<xref ref-type="bibr" rid="b2">2</xref>]</sup>, we study the $ L^2 $-decay rate of strong solutions. |
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| ISSN: | 2473-6988 |