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Pullback Attractors for NonAutonomous Dynamical Systems

2013
We 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
openaire   +1 more source

Pullback attractors in nonautonomous difference equations

Journal of Difference Equations and Applications, 2000
Nonautonomous 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.
openaire   +1 more source

Local equi-attraction of pullback attractor sections

Journal of Mathematical Analysis and Applications, 2021
Jie Xin, Hongyong Cui, Fuzhi Li
exaly  

Pullback attractors under discretization

2000
D.N. Cheban   +2 more
openaire   +1 more source

Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains

Applied Mathematics and Mechanics (English Edition), 2010
Yanren Hou
exaly  

Pullback attractor for a non-autonomous modified Swift–Hohenberg equation

Computers and Mathematics With Applications, 2014
Sun-Hye Park, Jong Yeoul Park
exaly  

Probabilistic continuity of a pullback random attractor in time-sample

Discrete and Continuous Dynamical Systems - Series B, 2020
Li Yangrong
exaly  

H 4-boundedness of pullback attractor for a 2D non-Newtonian fluid flow

Frontiers of Mathematics in China, 2013
Guowei Liu, Caidi Zhao
exaly  

Pullback Attractor for the 2D Micropolar Fluid Flows with Delay on Unbounded Domains

Bulletin of the Malaysian Mathematical Sciences Society, 2018
Guowei Liu, Wenlong Sun
exaly  

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