On a class of three dimensional Navier-Stokes equations with bounded delay

Sandro Guzzo, Gabriela Planas
2011 Discrete and continuous dynamical systems. Series B  
In this paper we consider a three dimensional Navier-Stokes type equations with delay terms. We discuss the existence of weak and strong solutions and we study the asymptotic behavior of the strong solutions. Moreover, under suitable assumptions, we show the exponential stability of stationary solutions.
doi:10.3934/dcdsb.2011.16.225 fatcat:pyhmd643rrepri3mqnm4txgfai