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

Dao Trong Quyet
대한수학회 (The Korean Mathematical Society)|2016.07|대한수학회논문집 (Communications of the KMS)|제31권 제3호|pp. 519-532

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참고문헌

키워드

infinite delay$g$-Navier-Stokes equationspullback attractors
주제분류수학

초록

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.

Abstract

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.

참고문헌 (19)

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  14. Dao Trong Quyet, "ASYMPTOTIC BEHAVIOR OF STRONG SOLUTIONS TO 2D g-NAVIER-STOKES EQUATIONS", 대한수학회논문집, 29(4), pp.505~518 (2014), 대한수학회
  15. D. T. Quyet, "Pullback attractor for strong solutions of 2D non-autonomous g-Navier-Stokes equations", Acta Math. Vietnam, 40(4), pp.637~651 (2015)
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