Abstract

ABSTRACTIn this paper, we are concerned with regularizing rates of the higher order derivatives of solutions for the initial value problem of a three-dimensional incompressible micropolar fluid system with initial data for . More precisely, we prove that there exist two positive constants and such that for any , the -norm of β-order derivatives of solutions obeys the following regularizing rates: for some suitable choices of s and q. These estimates particularly imply the spatial analyticity and the temporal decay of global solutions.

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