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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.)

ON A CLASS OF THREE DIMENSIONAL NAVIER-STOKES EQUATIONS WITH BOUNDED DELAY

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Author(s):
Guzzo, Sandro M. [1] ; Planas, Gabriela [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Oeste Parana UNIOESTE, Colegiado Curso Matemat, BR-85819110 Cascavel, PR - Brazil
[2] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 16, n. 1, p. 225-238, JUL 2011.
Web of Science Citations: 10
Abstract

In this paper we consider a three dimensional Navier-Stokes type equations with delay terms. We discuss the existence of weak and strong solutions and we study the asymptotic behavior of the strong solutions. Moreover, under suitable assumptions, we show the exponential stability of stationary solutions. (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