Results 151 to 160 of about 206 (175)
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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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A uniformly exponential random forward attractor which is not a pullback attractor
Archiv der Mathematik, 2002The author constructs an example of a random forward attractor for a random dynamical system (RDS) that is not a pullback attractor which is one of 3 possible notions of an attractor one can naturally define for RDS (and which all coincide for deterministic dynamical systems).
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Pullback exponential attractors for evolution processes in Banach spaces: Theoretical results
Communications on Pure and Applied Analysis, 2013Stefanie Sonner
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Some new regularity results of pullback attractors for 2D Navier-Stokes equations with delays
Communications on Pure and Applied Analysis, 2015Julia García-Luengo +2 more
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