Uniqueness of compressible micropolar fluid flows

Abstract

e paper examines the uniqueness of compressible micropolar fluid .flows over an arbitrary region R(t) with a smooth boundary JR(t). It is shown that there is at most one solution of the flow equations and boundary conditions which corresponds to suitably assigned initial values of the density, velocity, microrotation and temperature fields. The analysis rests on the use of differential inequalities involving the time derivatives of certain energy integrals.