Results 31 to 40 of about 2,498 (190)
On attractors, spectra and bifurcations of random dynamical systems [PDF]
, 2015 In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
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Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations [PDF]
, 2018 In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the frameworks of universes of fixed ...
Caraballo Garrido, Tomás +2 more
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Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
Discrete Dynamics in Nature and Society, 2018 We consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. Under some backwards assumptions of the nonautonomous force, it is shown that the theoretical existence result for such an attractor is derived ...
Jiali Yu, Wenhuo Su, Dongmei Xu
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Bulletin of Mathematical Sciences, 2021 This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
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Connectedness of random set attractors [PDF]
, 2017 Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence
Scheutzow, Michael, Vorkastner, Isabell
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Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay [PDF]
, 2017 We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of global solution is obtained by classical Galerkin approximation and the energy method.
Caraballo Garrido, Tomás +2 more
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On the Dynamics of Nonautonomous Parabolic Systems Involving the Grushin Operators
International Journal of Mathematics and Mathematical Sciences, 2011 We study the long-time behavior of solutions to nonautonomous semilinear parabolic systems involving the Grushin operators in bounded domains. We prove the existence of a pullback D-attractor in (L2(Ω))m for the corresponding process in ...
Anh Cung The, Toi Vu Manh
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Dynamics of stochastic 3D Brinkman-Forchheimer equations on unbounded domains
Electronic Research Archive, 2023 This paper is concerned with the asymptotic behavior of the stochastic three dimensional Brinkman-Forchheimer equations in some unbounded domains. We first define a continuous random dynamical system for the equations. Then by J.
Shu Wang, Mengmeng Si , Rong Yang
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Weak topologies for Carath\'eodory differential equations. Continuous dependence, exponential Dichotomy and attractors [PDF]
, 2018 We introduce new weak topologies and spaces of Carath\'eodory functions where the solutions of the ordinary differential equations depend continuously on the initial data and vector fields.
Longo, Iacopo P. +2 more
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The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor [PDF]
, 2014 The dichotomy spectrum is introduced for linear mean-square random dynamical systems, and it is shown that for finite-dimensional mean-field stochastic differential equations, the dichotomy spectrum consists of finitely many compact intervals. It is then
Doan, Thai Son +2 more
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