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Article Contents

# Pullback V-attractors of the 3-dimensional globally modified Navier-Stokes equations

• The existence and finite fractal dimension of a pullback attractor in the space $V$ for a three dimensional system of the nonautonomous Globally Modified Navier-Stokes Equations on a bounded domain is established under appropriate properties on the time dependent forcing term. These equations were proposed recently by Caraballo et al and are obtained from the Navier- Stokes Equations by a global modification of the nonlinear advection term. The existence of the attractor is obtained via the flattening property, which is verified.
Mathematics Subject Classification: 35Q30, 35K90, 37L30.

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