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
收藏
页码：244 / 256
页数：13
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