In this paper, we study the existence and uniqueness of strong solution of a regularized model of the motion of a 3D nonlinear-viscous fluid with delay in the locally Lipschitz case, and further study the asymptotic behavior of solution.
Cite this paper
Yi, D. and Zhu, C. (2019). The Asymptotic Behavior for a Regularized Model of 3D Nonlinear-Viscous Fluid with Delay. Open Access Library Journal, 6, e5908. doi: http://dx.doi.org/10.4236/oalib.1105908.
Agranovich, Y.Y. and Zvyagin, V.G. (2002) Investigations of Properties of Attrac-tors for a Regularized Model of the Motion of a Nonlinear-Viscous Fluid. Theory Algebra, 2, 50-58.
Temam, R. (1968) Une méthode d'approximation de la solution des équations de Navier-Stokes. Bulletin de la Société Mathématique de France, 96, 115-152. https://doi.org/10.24033/bsmf.1662
Caraballo, T., Márquez-Durán, A.M. and Real, J. (2009) Asymptotic Behaviour of the Three-Dimensional α-Navier-Stokes Model with Locally Lipschitz Delay Forcing Terms. Nonlinear Analysis Theory Methods and Applications, 71, e271-e282. https://doi.org/10.1016/j.na.2008.10.048
Caraballo, T., Real, J., et al. (2014) Three-Dimensional System of Globally Modified Navier-Stokes Equations with Delay. International Journal of Bifurcation and Chaos, 20, 1-8. https://doi.org/10.1142/s0218127410027428
