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Finite-dimensional global attractor for a system modeling the 2D nematic liquid crystal flow
, 2011We consider a 2D system that models the nematic liquid crystal flow through the Navier–Stokes equations suitably coupled with a transport-reaction-diffusion equation for the averaged molecular orientations.
M. Grasselli, Hao-qing Wu
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The Global Attractor Under Discretisation
1990The 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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Global attractors for one dimensional -Laplacian equation
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global versus local Heuristic Terminal Attractor
1995The Heuristic Terminal Attractor (H.T.A) [2,3] is one of the most widely used algorithms for training feedforward neural networks. This algorithm ensures the completion of the learning process in finite time, as well as reaching the global minimum of the error function. The H.T.A.
F. J. Marin, F. Garcia, F. Sandoval
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Compact global attractors of control systems
Journal of Dynamical and Control Systems, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global attractors for a vegetation model
Asymptotic Analysis, 2011In this article, a rigorous mathematical treatment of the dryland vegetation model introduced by Gilad et al. [Phys. Rev. Lett. 98(9) (2004), 098105-1–098105-4, J. Theoret. Biol. 244 (2007), 680–691] is presented. We prove the existence and uniqueness of solutions in (L1(Ω))3 and the existence of global attractors in L1(Ω;𝒟), where 𝒟 is an invariant ...
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Finite dimensional global attractor for a fractional nonlinear Schrödinger equation
Nonlinear Differential Equations and Applications NoDEA, 2017O. Goubet, E. Zahrouni
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The global attractor for a suspension bridge with memory and partially hinged boundary conditions
, 2017S. Messaoudi +3 more
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