References

EXPONENTIAL ATTRACTOR FOR THE THREE-DIMENSIONAL NAVIER-STOKES EQUATION WITH NONLINEAR DAMPING


[1] X. Cai and Q. Jiu, Weak and strong solutions for the incompressible Navier-Stokes equations with damping, J. Math. Anal. Appl. 343 (2008), 799-809.

[2] X. Song and Y. Hou, Attractors for the three-dimensional incompressible Navier-Stokes equations with damping, Discrete and Continuous Dynamical Systems 31 (2011), 239-252.

[3] X. Song and Y. Hou, Uniform attractors for three-dimensional Navier-Stokes equations with nonlinear damping, Journal of Mathematical Analysis and Applications 422 (2015), 337-351.

[4] A. Eden, C. Foias, B. Nicolaenko and R. Temam, Exponential Attractors for Dissipative Evolution Equations, Paris and Wiley, New York, Masson, Research in Applied Mathematics, 1994.

[5] Z. Dai and B. Guo, Inertial fractal sets for dissipative Zakharov system, Acta Math. Appl. Sinica 13 (1997), 279-288.

[6] James C. Robinson, Infinite-Dimensional Dynamical Systems, an Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors, Cambridge University Press, 2001.