Global mild solutions for the nonautonomous 2D Navier-Stokes equations with impulse effects
Analysis of PDEs
2017-12-06 v1
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.
Cite
@article{arxiv.1607.04582,
title = {Global mild solutions for the nonautonomous 2D Navier-Stokes equations with impulse effects},
author = {Everaldo M. Bonotto and Jaqueline G. Mesquita and Ricardo P. Silva},
journal= {arXiv preprint arXiv:1607.04582},
year = {2017}
}