On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations
The purpose of this paper is to show the upper-lower bound estimate for the \(L^2\)-decay rates of higher-order derivatives of solutions to the micropolar fluid motion equations. To this end, the authors examine the decay estimates of derivatives for the solutions to the linearized micropolar fluid motion equations and then extend the estimates on linearized equations to the nonlinear equations by using a generalized Gronwall type argument.
scientific article; zbMATH DE number 5173027
scientific article