Three-dimensional flow of a compressible viscous micropolar fluid with cylindrical symmetry: a global existence theorem

摘要

We consider the nonstationary 3-D flow of a compressible viscous heat-conducting micropolar fluid in the domain to be the subset of R-3 bounded with two coaxial cylinders that present the solid thermoinsulated walls. In the thermodynamical sense, the fluid is perfect and polytropic. We assume that the initial density and temperature are bounded from below with a positive constant, and that the initial data are sufficiently smooth cylindrically symmetric functions. The starting problem is transformed into the Lagrangian description on the spatial domain ]0,L[. In this work, we prove that our problem has a generalized solution for any time interval [0,T], T is an element of R+. The proof is based on the local existence theorem and the extension principle. Copyright (c) 2017 John Wiley & Sons, Ltd.