Pullback attractors for three-dimensional Navier-Stokes-Voigt equations with delays

Periodic Random Attractors for Stochastic Navier-stokes Equations on Unbounded Domains

This article concerns the asymptotic behavior of solutions to the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains. First we introduce a continuous cocycle for the equations and then prove the existence and uniqueness of tempered random attractors. We also characterize the structures of the random attractors by comp...

On the Dimension of the Pullback Attractors for g-Navier-Stokes Equations

Pullback D-attractors for non-autonomous partly dissipative reaction-diffusion equations in unbounded domains

At present paper, we establish the existence of pullback $mathcal{D}$-attractor for the process associated with non-autonomous partly dissipative reaction-diffusion equation in $L^2(mathbb{R}^n)times L^2(mathbb{R}^n)$. In order to do this, by energy equation method we show that the process, which possesses a pullback $mathcal{D}$-absorbing set, is pullback $widehat{D}_0$-asymptotically compact.

Three-Dimensional System of Globally Modified Navier-Stokes Equations with Delay

Resumen We first study the existence and uniqueness of strong solutions of a three dimensional system of globally modified Navier-Stokes equations with delay in the locally Lipschitz case. The asymptotic behaviour of solutions, and the existence of pullback attractor are also analyzed.

Scientific Flow Field Simulation of Cruciform Missiles Through the Thin Layer Navier Stokes Equations

The thin-layer Navier-Stokes equations are solved for two complete missile configurations on an IBM 3090-200 vectro-facility supercomputer. The conservation form of the three-dimensional equations, written in generalized coordinates, are finite differenced and solved on a body-fitted curvilinear grid system developed in conjunction with the flowfield solver. The numerical procedure is based on ...