PULLBACK ATTRACTORS FOR STRONG SOLUTIONS OF 2D NON-AUTONOMOUS g-NAVIER-STOKES EQUATIONS
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- 作者：Dao Trong Quyet
- 关键词：g ; Navier ; Stokes equations ; Strong solution ; Pullback attractor ; Tempered behavior ; 35B41 ; 35Q30 ; 37L30 ; 35D35
- 刊名：Acta Mathematica Vietnamica
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：40
- 期：4
- 页码：637-651
- 全文大小：315 KB
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1. Faculty of Information Technology, Le Quy Don Technical University, 100 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam - 刊物主题：Mathematics, general;
- 出版者：Springer Singapore
- ISSN：2315-4144
文摘
Considered here is the first initial boundary value problem for the 2D non-autonomous g-Navier-Stokes equations in bounded domains. We prove the existence of a pullback attractor in V g for the continuous process generated by strong solutions to the problem. We also prove the exponential growth in V g and in H 2(Ω, g) for the pullback attractor, when time goes to ?em class="EmphasisTypeItalic ">?/em>. Keywords g-Navier-Stokes equations Strong solution Pullback attractor Tempered behavior