Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841149 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 6 Pages |
Abstract
We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain ΩΩ of R2R2. We establish a general result about (H2(Ω))2∩V(H2(Ω))2∩V-boundedness of invariant sets for the associate evolution process. Then, as a consequence, we deduce that, under adequate assumptions, the pullback attractors of the non-autonomous 2D Navier–Stokes equations are bounded not only in VV but also in (H2(Ω))2(H2(Ω))2.
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Authors
Julia García-Luengo, Pedro Marín-Rubio, José Real,