Results 101 to 110 of about 1,311,893 (303)

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
doaj  

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, Henrik Lindén, Matthias H Hennig, Anders Lansner   +3 more
doaj   +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, Osaki, Koichi, Sakurai, Tatsunari   +2 more
openaire   +2 more sources

Biomaterial Strategies for Targeted Intracellular Delivery to Phagocytes

Advanced Functional Materials, EarlyView.
Phagocytes are essential to a functional immune system, and their behavior defines disease outcomes. Engineered particles offer a strategic opportunity to target phagocytes, harnessing inflammatory modulation in disease. By tuning features like size, shape, and surface, these systems can modulate immune responses and improve targeted treatment for a ...
Kaitlyn E. Woodworth, Neal I. Callaghan, Locke Davenport Huyer   +2 more
wiley   +1 more source

Thermal Expansion Behavior of PM6 Studied Using In Situ Wide‐Angle X‐Ray Scattering

Advanced Functional Materials, EarlyView.
In organic photovoltaics, small morphological changes can significantly impact performance. This study examines the thermal expansion of PM6 using in situ WAXS and GIWAXS from 30 to 300 °C. By analyzing samples of increasing complexity, factors like initial anisotropic nanoscale arrangements and substrate mismatches are quantified, revealing systematic
Meike Kuhn, Xu Huang, Matthew Gebert, Lars Thomsen, Christopher R. McNeill, Eva M. Herzig   +5 more
wiley   +1 more source

Finite fractal dimensionality of attractors for nonlocal evolution equations

Electronic Journal of Differential Equations, 2013
In this work we consider the Dirichlet problem governed by a non local evolution equation. We prove the existence of exponential attractors for the flow generated by this problem, and as a consequence we obtain the finite dimensionality of the global
Severino Horacio da Silva, Flank D. M. Bezerra   +1 more
doaj  

Smooth dynamics of a sup-cubic wave equation with delays

Boundary Value Problems
We establish the existence of a time-dependent exponential smooth attractor for a weakly damped wave equations with sup-cubic nonlinearity and hereditary effects in a 3D bounded domain.
Hongfang Li, Qi Jia, Feng Zhou, Kaixuan Zhu, Xin Li   +4 more
doaj   +1 more source

Mimicking Synaptic Plasticity: Optoionic MoS2 Memory Powered by Biopolymer Hydrogels as a Dynamic Cations Reservoir

Advanced Functional Materials, EarlyView.
Janus (MoS2) transistors functionalized with sodium alginate (SA) and poly(vinylidene fluoride‐co‐trifluoroethylene) [P(VDF‐TrFE)] exhibit persistent photo‐induced ionic gating, driven by dynamic cation migration at the hybrid interface. This ionic mechanism enables finely tunable photoconductivity and emulates key synaptic plasticity behaviors ...
Yeonsu Jeong, Pietro Tordi, Adrián Tamayo, Bin Han, Massimo Bonini, Paolo Samorì   +5 more
wiley   +1 more source

Unlocking the Full Potential of MgAgSb by Unravelling the Interrelation of Phase Constitution and Thermoelectric Properties

Advanced Functional Materials, EarlyView.
Persistent secondary phases govern the performance of many thermoelectric materials, particularly of high performance MgAgSb. In this study advanced microstructural characterization for unequivocal phase identification combined with transport modeling and statistical analysis enabled the quantification of each phase's impact, revealing the most ...
Amandine Duparchy, Frederic Kreps, Eckhard Müller, Johannes de Boor   +3 more
wiley   +1 more source

Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator

Abstract and Applied Analysis, 2012
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
doaj   +1 more source