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arXiv · 1607.04582

Global mild solutions for the nonautonomous 2D Navier-Stokes equations with impulse effects

Everaldo M. Bonotto·Jaqueline G. Mesquita·Ricardo P. Silva
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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.

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Everaldo M. Bonotto, Jaqueline G. Mesquita, Ricardo P. Silva. 2016-07-15. Global mild solutions for the nonautonomous 2D Navier-Stokes equations with impulse effects. https://doi.org/10.1007/s00021-017-0345-2

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