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

Niche, Cesar J.; Planas, Gabriela

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Niche, Cesar J. ^[1] ; Planas, Gabriela ^[2] Total Authors: 2
Affiliation:	^[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 Total Affiliations: 2
Document type:	Journal article
Source:	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 74, n. 1, p. 244-256, JAN 1 2011.
Web of Science Citations:	4
Abstract
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. (AU)

FAPESP's process:	07/51490-7 - Mathematical aspects of incompressible fluid dynamics
Grantee:	Milton da Costa Lopes Filho
Support Opportunities:	Research Projects - Thematic Grants

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