Abstract
AbstractIn this paper, we first establish the existence of a trajectory attractor for the Navier–Stokes–Voight (NSV) equation and then prove upper semicontinuity of trajectory attractors of 3D incompressible Navier–Stokes equation when 3D NSV equation is considered as a perturbative equation of 3D incompressible Navier–Stokes equation.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization
Reference22 articles.
1. Bronzi, A.C., Rosa, R.M.S.: On the convergence of statistical solutions of the 3D Navier–Stokes-$$\alpha $$ model as $$\alpha $$ vanishes. Discret. Contin. Dyn. Syst. 34(1), 19–49 (2014)
2. Chen, S., Holm, D.D., Margolin, L.G., Zhang, R.: Direct numerical simulations of the Navier–Stokes-$$\alpha $$ model. Physica D 133, 66–83 (1999)
3. Chepyzhov, V.V., Gatti, S., Grasselli, M., Miranville, A., Pata, V.: Trajectory and global attractors for evolution equations with memory. Appl. Math. Lett. 19, 87–96 (2006)
4. Chepyzhov, V.V., Titi, E.S., Vishik, M.I.: On Convergence of Trajectory Attractors of 3D Navier–Stokes-$$\alpha $$ Model as $$\alpha $$ Approaches 0. Russian Academy of Sciences, (DoM) and London Mathematical Society (2007)
5. Chepyzhov, V.V., Titi, E.S., Vishik, M.I.: On the convergence of solutions of the Leray-$$\alpha $$ model to the trajectory attractor of the 3D Navier–Stokes system. Discret. Contin. Dyn. Syst. 17, 481–500 (2007)
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