Dynamics of Partial Differential Equations
Volume 11 (2014)
Stability of stationary solutions to 2D-Navier-Stokes models with delays
Pages: 345 – 359
In this paper we establish some sufficient conditions for the exponential stability of the stationary solution to a two-dimensional Navier-Stokes model with delay in the forcing term. We are able to cover several situation in a single formulation by using functional formulation for the delay. In particular, our results improve some existing ones in the literature, which were only proved for variable delay.
Navier-Stokes equations, stability, variable delay, distributed delay, measurable delay
2010 Mathematics Subject Classification
Primary 35B40, 35R10. Secondary 47H20.