Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2016; 31(3): 519-532

Printed July 31, 2016

https://doi.org/10.4134/CKMS.c150186

Copyright © The Korean Mathematical Society.

Pullback attractors for 2D $g$-Navier-Stokes equations with infinite delays

Dao Trong Quyet

Le Quy Don Technical University

Abstract

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We consider the first initial boundary value problem for the 2D non-autonomous $g$-Navier-Stokes equations with infinite delays. We prove the existence of a pullback $\mathcal D$-attractor for the continuous process associated to the problem with respect to a large class of non-autonomous forcing terms.

Keywords: $g$-Navier-Stokes equations, pullback attractors, infinite delay

MSC numbers: 35B41, 35Q30, 37L30, 35D05

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