On the Dynamics of Abstract Retarded Evolution Equations
This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping.
Desheng Li, Jinying Wei, Jintao Wang
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Theory of weak asymptotic autonomy of pullback stochastic weak attractors and its applications to 2D stochastic Euler equations driven by multiplicative noise [PDF]
Kush Kinra, Manil T. Mohan
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Climate dynamics and fluid mechanics: Natural variability and related uncertainties
The purpose of this review-and-research paper is twofold: (i) to review the role played in climate dynamics by fluid-dynamical models; and (ii) to contribute to the understanding and reduction of the uncertainties in future climate-change projections. To
Allen +113 more
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Nonautonomous attractors of skew-product flows with digitized driving systems
The upper semicontinuity and continuity properties of pullback attractors for nonautonomous differential equations are investigated when the driving system of the generated skew-product flow is digitized.
R. A. Johnson, Peter E. Kloeden
doaj
Focus point on uncertainty quantification of modeling and simulation in physics and related areas: from theoretical to computational techniques. [PDF]
Cortés JC, Caraballo T, Pinto CMA.
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Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence of !-limit sets and global attractors and study their topological properties (compactness, conectedness).
Caraballo Garrido, Tomás +3 more
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In this paper, the well-posedness for the non-autonomous reaction–diffusion equation with infinite delays on a bounded domain is established. The existence of pullback attractors for the process in Cγ,Lr(Ω) $C_{\gamma,L^{r}(\Omega)}$ and Cγ,W1,r(Ω) $C_ ...
Yanping Ran, Jing Li
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Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions. [PDF]
Huynh H, Kloeden PE, Pötzsche C.
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Pullback attractor for a non local non-autonomous evolution equation in an unbounded domain [PDF]
Flank D. M. Bezerra +2 more
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Generic generation of noise-driven chaos in stochastic time delay systems: Bridging the gap with high-end simulations. [PDF]
Chekroun MD, Koren I, Liu H, Liu H.
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