Global strong solution for initial–boundary value problem of one-dimensional compressible micropolar fluids with density dependent viscosity and temperature dependent heat conductivity

Abstract

In this paper, we prove existence and uniqueness of global strong solution of the compressible micropolar fluids model in one dimensional space with density dependent viscosity and temperature dependent heat conductivity under stress-free and thermally insulated boundary conditions. Former studies regard the coefficients as constants while we consider that the viscosity depends on density and the heat conductivity depends on temperature, which lead to the high nonlinearity and difficulty on deducing the bounds of both density and temperature.