Asymptotic behaviour of the three-dimensional α -Navier–Stokes model with locally Lipschitz delay forcing terms

We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional α -Navier–Stokes model with delays, when the forcing term containing the delay is sub-linear and locally Lipschitz continuous.

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Bibliographic Details
Published in:Nonlinear analysis 2009-12, Vol.71 (12), p.e271-e282
Main Authors: Caraballo, T., Márquez-Durán, A.M., Real, J.
Format: Article
Language:English
Subjects:
[formula omitted]-Navier–Stokes models with delays
Asymptotic properties
Asymptotic stability of stationary solutions
Delay
Existence and uniqueness of variational solutions
Exponential convergence of solutions
Mathematical models
Nonlinearity
Stability
Uniqueness
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Description
Summary:We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional α -Navier–Stokes model with delays, when the forcing term containing the delay is sub-linear and locally Lipschitz continuous.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2008.10.048