On coupled flows of micropolar heat conducting fluids with mixed boundary conditions

Abstract

In this letter we are concerned with the initial boundary value problem for the micropolar heat conducting fluid in nonsmooth domains with mixed boundary conditions. The considered boundary conditions are of two types: Navier’s slip conditions on solid surfaces and Neumann-type boundary conditions on free surfaces. The present paper is devoted to the proof of the existence and regularity of the solution in distribution spaces under some restrictions on the data of the problem.