Results 101 to 110 of about 1,344,372 (340)
Almost sure rates of mixing for partially hyperbolic attractors [PDF]
arXiv, 2019 We introduce random towers to study almost sure rates of correlation decay for random partially hyperbolic attractors. Using this framework, we obtain abstract results on almost sure exponential, stretched exponential and polynomial correlation decay rates.
arxiv
Exponential attractors for nonautonomous partially dissipative equations
Differential and Integral Equations, 1999 Our aim in this article is to construct exponential attractors for nonautonomous partially dissipative systems by adapting to the nonautonomous case the method presented in [1] and based on a decomposition of the difference of two trajectories. We follow the ideas developed in [2] which consist in studying an equation on an extended space.
Galusinski, C., Hnid, M., Miranville, A.
openaire +2 more sources
Pullback exponential attractors for differential equations with variable delays
Discrete & Continuous Dynamical Systems - B, 2020 We show how recent existence results for pullback exponential attractors can be applied to non-autonomous delay differential equations with time-varying delays. Moreover, we derive explicit estimates for the fractal dimension of the attractors. As a special case, autonomous delay differential equations are also discussed, where our results improve ...
Hammami, M.A. +3 more
openaire +4 more sources
Advanced Functional Materials, EarlyView.This review synthesizes the evolution of radiative heat transfer, emphasizing the transition from far‐field to near‐field regimes. Traditional frameworks, such as Planck's law, are revisited alongside modern innovations like fluctuational electrodynamics. Applications span nanoscale thermal management, energy harvesting, and thermophotovoltaic systems.
Ambali Alade Odebowale +6 more
wiley +1 more source
Global dynamics of a reaction-diffusion system
Electronic Journal of Differential Equations, 2011 In this work the existence of a global attractor for the semiflow of weak solutions of a two-cell Brusselator system is proved. The method of grouping estimation is exploited to deal with the challenge in proving the absorbing property and the ...
Yuncheng You
doaj
Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations
Advances in Nonlinear Analysis, 2019 Homogenisation of global 𝓐ε and exponential 𝓜ε attractors for the damped semi-linear anisotropic wave equation ∂t2uε+y∂tuε−divaxε∇uε+f(uε)=g,$\begin{array}{} \displaystyle \partial_t ^2u^\varepsilon + y \partial_t u^\varepsilon-\operatorname{div} \left(a\
Cooper Shane, Savostianov Anton
doaj +1 more source
Dynamic analysis of a delayed COVID-19 epidemic with home quarantine in temporal-spatial heterogeneous via global exponential attractor method. [PDF]
Chaos Solitons Fractals, 2021 Zhu CC, Zhu J.
europepmc +1 more source
Making Photoresponsive Metal–Organic Frameworks an Effective Class of Heterogeneous Photocatalyst
Advanced Functional Materials, EarlyView.This review summarizes photoresponsive MOFs for photocatalytic applications, focusing on their capacity to enhance light harvesting, charge transfer, and surface reactions. While existing studies provide foundational insights, emerging characterization techniques enable a deeper understanding of photoresponsive MOFs.
Rui Liu +3 more
wiley +1 more source
Exponential attractors for Belousov-Zhabotinskii reaction model
, 2009 This paper is concerned with the Belousov-Zhabotinskii reaction model. We consider the reaction-diffusion model due to Keener-Tyson. After constructing a dynamical system, we will construct exponential attractors and will estimate the attractor dimension from below. In particular, it will be shown that, as the excitability $\epsilon > 0$ tends to zero,
Yagi, Atsushi +2 more
openaire +2 more sources
Inter‐Layer Diffusion of Excitations in 2D Perovskites Revealed by Photoluminescence Reabsorption
Advanced Functional Materials, EarlyView.Inter‐layer diffusion of photoexcitations is monitored in thin films of the 2D perovskite (PEA)2PbI4 by tracking time‐dependent changes in photoluminescence spectra induced by photon reabsorption effects. A low out‐of‐plane excitation diffusion coefficient of 0.26 × 10−4 cm2 s−1 is determined through 1D diffusion modeling.
Jiaxing Du +7 more
wiley +1 more source