Uniqueness and continuous dependence of solutions to the incompressible micropolar flows forward and backward in time

This paper studies the continuous dependence of the solutions for-the bound ary-initial and boundary-final value problems associated with the incompres sible micropolar flows. For the incompressible micropolar flows forward in time, the continuous dependence of solutions with respect to the changes in the body force and body couple and in the initial data is established by m eans of a method based on a Gronwall-type inequality, while an adapted vers ion of the logarithmic convexity method is used to study the continuous dep endence of solutions for the incompressible micropolar flows backward in ti me. As a direct consequence, some uniqueness results are obtained. (C) 2001 Elsevier Science Ltd. All rights reserved.