Results 61 to 70 of about 2,861 (240)
A panoramic view of exponential attractors
We state necessary and sufficient conditions for the existence of $T$-discrete exponential attractors for semigroups in complete metric spaces. These conditions are formulated in terms of a covering condition for iterates of the absorbing set under the time evolution of the semigroup and imply the existence and finite-dimensionality of the global ...
Czaja, Radoslaw, Sonner, Stefanie
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Advanced Functional Materials, EarlyView.Plasmonic photocatalytic ammonia decomposition occurs at near‐room temperature on a plasmonic Au nanocone array under visible light illumination. The nanostructure efficiently harnesses plasmonic modes, leading to increased reaction rates upon plasmon decay.
Thanh‐Lam Bui +17 more
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Spike-Based Bayesian-Hebbian Learning of Temporal Sequences.
PLoS Computational Biology, 2016 Many cognitive and motor functions are enabled by the temporal representation and processing of stimuli, but it remains an open issue how neocortical microcircuits can reliably encode and replay such sequences of information. To better understand this, a
Philip J Tully +3 more
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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.
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GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM [PDF]
Mathematical Models and Methods in Applied Sciences, 2009 The Penrose–Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved. Differently from preceding contributions, here the energy balance equation is both singular at 0 and degenerate at ∞.
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Advanced Functional Materials, EarlyView.The study presents biodegradable and recyclable mixed‐matrix membranes (MMMs), hydrogels, and cryogels using luminescent nanoscale metal‐organic frameworks (nMOFs) and biopolymers. These bio‐nMOF‐MMMs combine europium‐based nMOFs as probes for the status of the materials with the biopolymers agar and gelatine and present alternatives to conventional ...
Moritz Maxeiner +4 more
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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
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Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules
Advanced Functional Materials, EarlyView.A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang +7 more
wiley +1 more source
Laser‐Induced Graphene from Waste Almond Shells
Advanced Functional Materials, EarlyView.Almond shells, an abundant agricultural by‐product, are repurposed to create a fully bioderived almond shell/chitosan composite (ASC) degradable in soil. ASC is converted into laser‐induced graphene (LIG) by laser scribing and proposed as a substrate for transient electronics.
Yulia Steksova +9 more
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Exponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls
Electronic Journal of Differential Equations, 2006 In a previous article [7], we proposed a model of phase separation in a binary mixture confined to a bounded region which may be contained within porous walls. The boundary conditions were derived from a mass conservation law and variational methods.
Ciprian G. Gal
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