THREE DIMENSIONAL SYSTEM OF GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS WITH INFINITE DELAYS

被引：40

作者：

Marin-Rubio, Pedro ^{[1
]}

Marquez-Duran, Antonio M. ^{[1
,2
]}

Real, Jose ^{[1
]}

机构：

[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

[2] Univ Pablo Olavide, Dept Econ Metodos Cuantitat & Hist Econ, Seville 41013, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2010年 / 14卷 / 02期

关键词：

Globally Modified Navier-Stokes Equations; infinite delays; WEAK SOLUTIONS; V-ATTRACTORS;

D O I：

10.3934/dcdsb.2010.14.655

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, undersuitable additional conditions, we obtain global exponential decay of the solutions of the evolutionary problem to the stationary solution.

引用

页码：655 / 673

页数：19

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