Results 21 to 30 of about 2,218 (199)
Minimality properties of set-valued processes and their pullback attractors [PDF]
, 2014 We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect ...
Michele Coti, Piotr Kalita, Zelati
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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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A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics [PDF]
, 2018 The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem $u_t= u_{xx} + \lambda u - \beta(t)u^3$ when the parameter $\lambda > 0$ varies.
Broche, Rita de Cássia D. S. +2 more
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Pullback Attractors for Nonautonomous Degenerate Kirchhoff Equations with Strong Damping
Advances in Mathematical Physics, 2021 In this paper, we obtain the existence of pullback attractors for nonautonomous Kirchhoff equations with strong damping, which covers the case of possible generation of the stiffness coefficient.
Honglv Ma, Jing Wang, Jun Xie
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Regularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions [PDF]
, 2014 In this paper, we prove some regularity results for pullback attractors of a non-autonomous reaction–diffusion model with dynamical boundary conditions considered in Anguiano (2011).
Anguiano Moreno, María +2 more
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Boundary Value Problems, 2017 The aim of this paper is to consider the dynamical behaviour for a class of non-autonomous reaction-diffusion equations in R n $\mathbb{R}^{n}$ , where the external force g ( x , t ) $g(x,t)$ satisfies only a certain integrability condition.
Qiangheng Zhang
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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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Weak pullback attractors of setvalued processes
Journal of Mathematical Analysis and Applications, 2003 Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for at least one trajectory rather than all trajectories at each starting point.
Caraballo Garrido, Tomás +2 more
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Robustness of 3D Navier–Stokes System with Increasing Damping
Applied Sciences, 2023 The principal objective of the paper is the study of the three-dimensional Navier–Stokes system with non-autonomous perturbation force term and increasing damping term, which often appears in the fluid system within saturated porous media and other ...
Jie Cao, Keqin Su
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