Existence and decay of solutions in full space to Navier-Stokes equations with delays

被引：6

作者：

Niche, Cesar J. ^{[1
]}

Planas, Gabriela ^{[2
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, Dept Matemat Aplicada, BR-21941909 Rio De Janeiro, Brazil

[2] Univ Estadual Campinas, Inst Matemat Estat Computacao Cientif, Dept Matemat, BR-13083859 Campinas, SP, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Navier-Stokes equations; Delays; Decay of solutions; Fourier Splitting; QUASI-GEOSTROPHIC EQUATIONS; ASYMPTOTIC-BEHAVIOR; EXPONENTIAL STABILITY; WEAK SOLUTIONS; ATTRACTORS; MODEL; OCEAN;

D O I：

10.1016/j.na.2010.08.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Navier-Stokes equations with delays in R-n, 2 <= n <= 4. We prove existence of weak solutions when the external forces contain some hereditary characteristics and uniqueness when n = 2. Moreover, if the external forces satisfy a time decay condition we show that the solution decays at an algebraic rate. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：244 / 256

页数：13

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