IJMNTA  Vol.3 No.5 , December 2014
The Global Attractors of the Solution for 2D Maxwell-Navier-Stokes with Extra Force Equations
Abstract: In this paper, we studied the solution existence and uniqueness and the attractors of the 2D Maxwell-Navier-Stokes with extra force equations.
Cite this paper: Tian, C. , Wang, M. and Lin, G. (2014) The Global Attractors of the Solution for 2D Maxwell-Navier-Stokes with Extra Force Equations. International Journal of Modern Nonlinear Theory and Application, 3, 221-229. doi: 10.4236/ijmnta.2014.35024.

[1]   Zhang, Q. (2013) On the Non-Resistive Limit of the 2D Maxwell-Navier-Stokes Equations. Journal of Mathematical Analysis and Applications, 404, 150-160.

[2]   Masmoudi, N. (2010) Global Well Posedness for the Maxwell-Navier-Stokes System in 2D. Journal de Mathématiques Pures et Appliquées, 93, 559-571.

[3]   Tian, L.X. (1994) Attractor of the Dissipated and Isolated Wave-Equation. Journal of Applied Mathmatics and Mechanics, 15, 539-547.

[4]   Dai, Z.D., Guo, B.L. and Lin, G.G. (1998) Breakdown Structure of Generalized Kuramoto-Sivashinsky Equation Attractor. Applied Mathmatics and Mechanics, 19, 243-255.

[5]   Du, X.Y. and Dai, Z.D. (2000) Global Attractor of Dissipative KDV Equation about Cauchy Problem. Acta Mathematica Scientia, 20, 289-295.

[6]   Guo, B.L. (2000) The Infinite Dimension System. National Defense Industry Press, Beijing.

[7]   Wu, J.Z., Zhao, P. and Lin, G.G. (2010) An Inertial Manifold of the Damped Boussinesq Equation. Journal of Yunnan University, 32, 310-314.

[8]   Lin, G.G. (2011) Nonlinear Evolution Equations. Yunnan University Press, Kunming.

[9]   Tian, L.X. and Ding, D.P. (2000) Local Property or Weakly Damped Forced KDV Equation in 2-D Thin Domin. Journal of Jiangsu University of Sciencend Technology, 21, 106-110.

[10]   Dang, J.B., Wang, L. and Lin, G.G. (2010) Global Attractor for Weekly Damped Generalized Equation in the Long Time. Journal of Mathematical Study, 43, 1-11.