THREE-DIMENSIONAL SYSTEM OF GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS WITH DELAY

被引：31

作者：

Caraballo, Tomas ^{[1
]}

Real, Jose ^{[1
]}

Marquez, Antonio M. ^{[2
]}

机构：

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

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

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 09期

关键词：

Three-dimensional Navier-Stokes equations; Galerkin approximations; weak solutions; existence and uniqueness of strong solutions; global attractors; COCYCLE ATTRACTORS; WEAK SOLUTIONS; V-ATTRACTORS;

D O I：

10.1142/S0218127410027428

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and uniqueness of strong solutions of a three-dimensional system of globally modified Navier-Stokes equations with delay in the locally Lipschitz case. The asymptotic behavior of solutions, and the existence of pullback attractor are also analyzed.

引用

页码：2869 / 2883

页数：15

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