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

Abstract

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.

Keywords

• non-newtonian fluid
• mhd equations
• decay rate