Research article

Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space

  • Received: 07 June 2021 Accepted: 10 September 2021 Published: 17 September 2021
  • MSC : 35Q30, 76A05, 35B35

  • 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 [2], we study the $ L^2 $-decay rate of strong solutions.

    Citation: Jae-Myoung Kim. Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space[J]. AIMS Mathematics, 2021, 6(12): 13423-13431. doi: 10.3934/math.2021777

    Related Papers:

  • 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 [2], we study the $ L^2 $-decay rate of strong solutions.



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