Exponential stability and regularity of compressible viscous micropolar fluid with cylinder symmetry

Abstract

<p style='text-indent:20px;'>This paper is concerned with three-dimensional compressible viscous and heat-conducting micropolar fluid in the domain to the subset of <inline-formula><tex-math id="M1">$ R^3 $</tex-math></inline-formula> bounded with two coaxial cylinders that present the solid thermoinsulated walls, being in a thermodynamical sense perfect and polytropic. We prove that the regularity and the exponential stability in <inline-formula><tex-math id="M2">$ H^2 $</tex-math></inline-formula>.</p>