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Pullback Attractors for NonAutonomous Dynamical Systems
2013We study a nonautonomous reaction-diffusion equation with zero Dirichlet boundary condition, in an unbounded domain containing a nonautonomous forcing term taking values in the space H −1, and with a continuous nonlinearity which does not ensure uniqueness of solution. Using results of the theory of set-valued nonautonomous (pullback) dynamical systems,
María Anguiano +3 more
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Pullback attractors in nonautonomous difference equations
Journal of Difference Equations and Applications, 2000Nonautonomous difference equations are formulated as cocycles which generalize semigroups corresponding to autonomous difference equations. Pullback attractors are the appropriate generalization of autonomous attractors to cocycles. The existence of a pullback attractor follows when the difference equation cocycle has a pullback absorbing set.
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Local equi-attraction of pullback attractor sections
Journal of Mathematical Analysis and Applications, 2021Jie Xin, Hongyong Cui, Fuzhi Li
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Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains
Applied Mathematics and Mechanics (English Edition), 2010Yanren Hou
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Pullback attractor for a non-autonomous modified Swift–Hohenberg equation
Computers and Mathematics With Applications, 2014Sun-Hye Park, Jong Yeoul Park
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Probabilistic continuity of a pullback random attractor in time-sample
Discrete and Continuous Dynamical Systems - Series B, 2020Li Yangrong
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H 4-boundedness of pullback attractor for a 2D non-Newtonian fluid flow
Frontiers of Mathematics in China, 2013Guowei Liu, Caidi Zhao
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Pullback Attractor for the 2D Micropolar Fluid Flows with Delay on Unbounded Domains
Bulletin of the Malaysian Mathematical Sciences Society, 2018Guowei Liu, Wenlong Sun
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Pullback attractor and invariant measures for the three-dimensional regularized MHD equations
Discrete and Continuous Dynamical Systems, 2018Caidi Zhao
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