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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AIMS Press
2021-09-01
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021777?viewType=HTML |
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doaj-a1f2c84a82124f609f437f0487151b742021-09-28T01:19:42ZengAIMS PressAIMS Mathematics2473-69882021-09-01612134231343110.3934/math.2021777Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half spaceJae-Myoung Kim0Department of Mathematics Education, Andong National University, Andong 36729, KoreaThis 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.https://www.aimspress.com/article/doi/10.3934/math.2021777?viewType=HTMLnon-newtonian fluidmhd equationsdecay rate |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jae-Myoung Kim |
| spellingShingle |
Jae-Myoung Kim Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space AIMS Mathematics non-newtonian fluid mhd equations decay rate |
| author_facet |
Jae-Myoung Kim |
| author_sort |
Jae-Myoung Kim |
| title |
Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space |
| title_short |
Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space |
| title_full |
Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space |
| title_fullStr |
Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space |
| title_full_unstemmed |
Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space |
| title_sort |
time decay rates for the coupled modified navier-stokes and maxwell equations on a half space |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2021-09-01 |
| description |
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. |
| topic |
non-newtonian fluid mhd equations decay rate |
| url |
https://www.aimspress.com/article/doi/10.3934/math.2021777?viewType=HTML |
| work_keys_str_mv |
AT jaemyoungkim timedecayratesforthecoupledmodifiednavierstokesandmaxwellequationsonahalfspace |
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1716866575210905600 |