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|Title:||Some regularity results for a double time-delayed 2D-Navier-Stokes model|
|Abstract:||In this paper we analyze some regularity properties of a double time-delayed 2D-Navier-Stokes model, that includes not only a delay force but also a delay in the convective term. The interesting feature of the model -from the mathematical point of view- is that being in dimension two, it behaves similarly as a 3D-model without delay, and extra conditions in order to have uniqueness were required for well-posedness. This model was previously studied in several papers, being the existence of attractor in the L-2-framework obtained by the authors [Discrete Contin. Dyn. Syst. 34 (2014), 4085-4105]. Here regularization properties of the solutions and existence of (regular) attractors for several associated dynamical systems are established. Moreover, relationships among these objects are also provided.|
|Subject:||Navier-Stokes, Equações de|
|Editor:||American Institute of Mathematical Sciences|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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