Asymptotic behavior of solutions for a three dimensional system of globally modified Navier–Stokes equations with a locally Lipschitz delay term

Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier–Stokes equations with finite delay terms within a locally Lipschitz operator are established. Moreover, we also analyze the stationary problem, and, under suitable assumptions, we prove that there...

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Bibliographic Details
Published in:Nonlinear analysis 2013-03, Vol.79, p.68-79
Main Authors: Marín-Rubio, P., Márquez-Durán, A.M., Real, J.
Format: Article
Language:English
Subjects:
Asymptotic properties
Continuity
Delay
Finite delay
Fluid flow
Globally modified Navier–Stokes equations
Mathematical analysis
Operators
Three dimensional
Uniqueness
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Summary:Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier–Stokes equations with finite delay terms within a locally Lipschitz operator are established. Moreover, we also analyze the stationary problem, and, under suitable assumptions, we prove that there exists a unique stationary solution, which is globally asymptotically exponentially stable.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2012.11.006