arXiv:1607.04582 Abstract | arXiv Analytics

arXiv:1607.04582 [math.AP]Abstract References Reviews Resources

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

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

Published 2016-07-15Version 1

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.

Categories: math.AP

Keywords: global mild solutions, nonautonomous 2d navier-stokes equations, impulse effects, paper deals, nonlinear terms

Related articles: Most relevant | Search more

arXiv:1203.2699 [math.AP] (Published 2012-03-13, updated 2012-03-16)

Global Mild Solutions of the Navier-Stokes Equations

Zhen Lei, Fang-hua Lin

arXiv:2112.00244 [math.AP] (Published 2021-12-01, updated 2023-06-07)

Global mild solutions to the Vlasov-Maxwell-Fokker-Planck system

Yingzhe Fan, Yuanjie Lei

arXiv:1904.12086 [math.AP] (Published 2019-04-27)

Global mild solutions of the Landau and non-cutoff Boltzmann equations

Renjun Duan, Shuangqian Liu, Shota Sakamoto, Robert M. Strain