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The Global Attractor Under Discretisation

1990
The effect of temporal discretisation on dissipative differential equations is analysed. We discuss the effect of discretisation on the global attractor and survey some recent results in the area. The advantage of concentrating on ω and α limit sets (which are contained in the global attractor) is described.
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On the index of the global attractor for a class of -Laplacian equations

Nonlinear Analysis: Theory, Methods & Applications, 2010
Chengkui Zhong, Weisheng Niu
exaly  

Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid

Journal of Mathematical Analysis and Applications, 2007
Caidi Zhao, Shengfan Zhou
exaly  

Global attractor for the generalized double dispersion equation

Nonlinear Analysis: Theory, Methods & Applications, 2015
Zhijian Yang, To Fu
exaly  

The global attractor for the 2D Navier-Stokes flow on some unbounded domains

Nonlinear Analysis: Theory, Methods & Applications, 1998
Ricardo Rosa
exaly  

Global attractor for Hirota equation

Applied Mathematics, 2008
Bo-Ling Guo, Guo Bo-Ling
exaly  

The global attractor of the damped forced Ostrovsky equation

Journal of Mathematical Analysis and Applications, 2007
Zhaohui Huo
exaly  

Global attractor of the Kirchhoff wave models with strong nonlinear damping

Applied Mathematics Letters, 2018
Pengyan Ding, Zhijian Yang
exaly  

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