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The Strong Solution of a Class of Generalized Navier-Stokes Equations
Authors:Changxing Miao
Abstract:We study initial boundary value (lBV) problem for a class of generalized Navier-Stokes equations in L^q(0, T); L^p(Ω)). Our main tools are regularity of analytic semigroup by Stokes operator and space-time estimates. As an application we can obtain some classical results of the Navier-Stokes equations such as global classical solution of 2-dimensional Navier-Stokes equation etc.
Keywords:Admissible triple                                                                                                generalized Navier-Stokes equations                                                                                                i nitial boundary value problem                                                                                                space-time estimates
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