Results 81 to 90 of about 173,470 (308)

Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation

open access: yesJournal of Applied Mathematics, 2013
We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario.
Yongsheng Mi, Chunlai Mu
doaj   +1 more source

Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions

open access: yesDiscrete Dynamics in Nature and Society, 2020
In this paper, we study the blow-up phenomenon for a nonlinear reaction-diffusion system with time-dependent coefficients under nonlinear boundary conditions.
Baiping Ouyang, Wei Fan, Yiwu Lin
doaj   +1 more source

Spatially Resolved Click Patterning of Dyes on Graphene for 2D Hybrids with Regiotunable Fluorescence

open access: yesAdvanced Functional Materials, EarlyView.
Well‐structured graphene hybrid architectures featuring spatially resolved fluorescent properties represent a promising but so‐far elusive synthetic target. A robust and straightforward method for fabricating well‐organized graphene‐dye hybrid nanoassemblies through a combination of reductive patterning and conventional click chemistry is presented ...
Sabrin Al‐Fogra   +12 more
wiley   +1 more source

Wafer‐Scale Synthesis of Mithrene and its Application in UV Photodetectors

open access: yesAdvanced Functional Materials, EarlyView.
A controlled tarnishing step on the silver surface precedes the solid‐vapor‐phase chemical transformation into silver phenylselenolate thin films. The approach yields crystals exceeding 1 µm with improved in‐plane orientation. Integration on graphene phototransistors demonstrates high photoresponsivity, positioning mithrene as a promising material for ...
Maryam Mohammadi   +8 more
wiley   +1 more source

Critical exponent and blow-up rate for the omega-diffusion equations on graphs with Dirichlet boundary conditions

open access: yesElectronic Journal of Differential Equations, 2014
In this article, we study the $\omega$-diffusion equation on a graph with Dirichlet boundary conditions $$\displaylines{ u_t(x,t)=\Delta_{\omega}u(x,t)+e^{\beta t}u^{p}(x,t), \quad (x,t)\in S\times(0,\infty), \cr u(x,t)=0, \quad (x,t)\in \partial S ...
Weican Zhou, Miaomiao Chen, Wenjun Liu
doaj  

Multimodal Structural Color Graphics Based on Colloidal Photonic Microdome Arrays

open access: yesAdvanced Functional Materials, EarlyView.
A hybrid photonic system combining colloidal crystals and microscale domes is designed to achieve four switchable optical states via the interplay of Bragg reflection and TIR interference. The graphics composed of the photonic microdome arrays provide tunable, angle‐sensitive structural coloration and concealed‐to‐revealed transitions, offering a ...
Jun‐Gu Kang   +4 more
wiley   +1 more source

Concentration of blow-up solutions for the Gross-Pitaveskii equation

open access: yesAdvances in Nonlinear Analysis
We consider the blow-up solutions for the Gross-Pitaveskii equation modeling the attractive Boes-Einstein condensate. First, a new variational characteristic is established by computing the best constant of a generalized Gagliardo-Nirenberg inequality ...
Zhu Shihui
doaj   +1 more source

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