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Global mild solutions for the nonautonomous 2D Navier-Stokes equations with impulse effects (1607.04582v1)
Published 15 Jul 2016 in math.AP
Abstract: The present paper deals with existence and uniqueness of global mild solutions for the 2D Navier-Stokes equations with impulses. Using the framework of nonautonomous dynamical systems, we extend previous results considering the 2D Navier-Stokes equations with impulse effects and allowing that the nonlinear terms are explicitly time-dependent. Additionally, we present sufficient conditions to obtain dissipativity (boundedness) for solutions starting in bounded sets.