Results 81 to 90 of about 648,374 (310)

Blow up of solutions to semilinear wave equations

open access: yesElectronic Journal of Differential Equations, 2003
This work shows the absence of global solutions to the equation $$ u_{tt} = Delta u + p^{-k}|u|^m, $$ in the Minkowski space $mathbb{M}_0=mathbb{R}imesmathbb{R}^N$, where $ m > 1$, $(N-1)m < N+1$, and $p $ is a conformal factor approaching 0 at infinity.
Mohammed Guedda
doaj  

A hypergraph blow‐up lemma [PDF]

open access: yesRandom Structures & Algorithms, 2011
AbstractWe obtain a hypergraph generalisation of the graph blow‐up lemma proved by Komlós, Sarközy and Szemerédi, showing that hypergraphs with sufficient regularity and no atypical vertices behave as if they were complete for the purpose of embedding bounded degree hypergraphs. © 2011 Wiley Periodicals, Inc. Random Struct.
openaire   +2 more sources

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

On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

open access: yesJournal of Applied Mathematics, 2012
We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result.
Yongsheng Mi, Chunlai Mu, Weian Tao
doaj   +1 more source

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