Global Attractors and Determining Modes for the 3D Navier-Stokes-Voight Equations

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dc.creatorKalantarov, Varga K.
dc.creatorTiti, Edriss S.
dc.date2007-05-27
dc.date.accessioned2026-07-07T08:03:22Z
dc.date.available2026-07-07T08:03:22Z
dc.descriptionWe investigate the long-term dynamics of the three-dimensional Navier-Stokes-Voight model of viscoelastic incompressible fluid. Specifically, we derive upper bounds for the number of determining modes for the 3D Navier-Stokes-Voight equations and for the dimension of a global attractor of a semigroup generated by these equations. Viewed from the numerical analysis point of view we consider the Navier-Stokes-Voight model as a non-viscous (inviscid) regularization of the three-dimensional Navier-Stokes equations. Furthermore, we also show that the weak solutions of the Navier-Stokes-Voight equations converge, in the appropriate norm, to the weak solutions of the inviscid simplified Bardina model, as the viscosity coefficient $ν\to 0$.
dc.identifierhttps://arxiv.org/abs/0705.3972
dc.identifierhttp://arxiv.org/abs/0705.3972
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129556
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject37L30; 35Q35; 35Q30; 35B40
dc.titleGlobal Attractors and Determining Modes for the 3D Navier-Stokes-Voight Equations
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