Results 51 to 60 of about 167,507 (265)

Blow-up of solutions for a system of nonlinear parabolic equations

Electronic Journal of Differential Equations, 2013
The initial boundary value problem for a system of parabolic equations in a bounded domain is considered. We prove that, under suitable conditions on the nonlinearity and certain initial data, the lower bound for the blow-up time is determined if blow-
Shun-Tang Wu Wu
doaj  

Some Explicit Expressions and Interesting Bifurcation Phenomena for Nonlinear Waves in Generalized Zakharov Equations

Abstract and Applied Analysis, 2013
Using bifurcation method of dynamical systems, we investigate the nonlinear waves for the generalized Zakharov equations utt-cs2uxx=β(|E|2)xx,  iEt+αExx-δ1uE+δ2|E|2E+δ3|E|4E=0, where α,β,δ1,δ2,δ3, and cs are real parameters, E=E(x,t) is a complex ...
Shaoyong Li, Rui Liu
doaj   +1 more source

Airborne 1O2 Delivery via a Superhydrophobic Dressing as a Pathway to Next‐Generation Wound Therapies, an in Vivo Murine Burn Model Study

Advanced Healthcare Materials, EarlyView.
Schematic illustration of the SH bandage placed on an infected burn wound and its role in wound healing. A superhydrophobic PDMS membrane coated with the PS verteporfin is placed over the wound area and illuminated with a red laser at 690 nm, generating airborne 1O2 above the tissue.
Fernanda Viana Cabral, QianFeng Xu, Natalie Eidenschink, Pareesha Haresh, Alessandra Nara de Souza Rastelli, Jeremy Goverman, Alexander Greer, Alan M. Lyons, Tayyaba Hasan   +8 more
wiley   +1 more source

Blow-Up Time for Nonlinear Heat Equations with Transcendental Nonlinearity

Journal of Applied Mathematics, 2012
A blow-up time for nonlinear heat equations with transcendental nonlinearity is investigated. An upper bound of the first blow-up time is presented. It is pointed out that the upper bound of the first blow-up time depends on the support of the initial ...
Hee Chul Pak
doaj   +1 more source

Total blow-up versus single point blow-up

Journal of Differential Equations, 1988
The authors study blow-up of non negative solutions to a quasilinear parabolic equation describing the temperature perturbation during the ignition process of a reactive gas in a spherical container. The equation is of the form \(u_ t-\Delta u=f(u)+g(t),\) and is supplemented with zero Dirichlet boundary conditions and with a non negative initial datum
Bebernes, J, Bressan, A, Lacey, A
openaire   +2 more sources

Tuning Amorphous‐Crystalline Catalytic Interfaces by Mechanochemistry: Cu‐Based Metallic Glasses Coupled with Ceria for CO Oxidation

Advanced Materials, EarlyView.
Ball‐milling Cu‐based metallic glasses with ceria creates a unique nanostructure where metallic glass particles are wrapped by CeO2 nanoparticles. The intimate integration triggers copper state reorganization during reaction and aging, boosting CO oxidation and COPrOx activity.
Maahin Mirzay‐Shahim, Mehran Nabahat, Laia Pascua‐Solé, Isabel Serrano, Ilaria Lucentini, Xènia Garcia, Marina Armengol‐Profitós, Asier Agrelo‐Lestón, Ignasi Burgués‐Ceballos, Núria J. Divins, Ignacio J. Villar‐Garcia, Virginia Pérez‐Dieste, Carlos Escudero, Carlo Marini, Jordi Llorca, Eloi Pineda, Pere Bruna, Lluís Soler   +17 more
wiley   +1 more source

Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation

Advances in Mathematical Physics, 2013
We study the bifurcation phenomena of nonlinear waves described by a generalized Zakharov-Kuznetsov equation ut+au2+bu4ux+γuxxx+δuxyy=0. We reveal four kinds of interesting bifurcation phenomena.
Yun Wu, Zhengrong Liu
doaj   +1 more source

Viral Infection‐Inspired Autonomous Detection of Fusion‐Competent Viruses for Screening and Environmental Surveillance

Advanced Materials, EarlyView.
Inspired by viral entry mechanisms, the FUSION assay enables autonomous detection of respiratory viruses via membrane fusion–triggered CRISPR‐Cas13a activation. VEACON selectively fuses with fusion‐competent viruses, triggering fluorescence within confined vesicles.
Jae Chul Park, Yidam Song, Hyun‐Woo Choi, Jaeuk Sung, Harin Jin, WonSeok Gwak, Kirim Yoo, Soohwang Lee, Jongeon Park, Jeongmin Kim, Hye‐Jun Jo, Jahyun Koo, Youngdo Jeong, Kwan Hyi Lee, Seung‐Jung Kee, Hojun Kim   +15 more
wiley   +1 more source

An adaptive numerical method for the wave equation with a nonlinear boundary condition

Electronic Journal of Differential Equations, 2003
We develop an efficient numerical method for studying the existence and non-existence of global solutions to the initial-boundary value problem {gather*} u_{tt}=u_{xx}quad 00, u(x,0)=f(x),quad u_{t}(x,0)=g(x) quad ...
Azmy S. Ackleh, Keng Deng, Joel Derouen
doaj  

On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime

Boundary Value Problems, 2021
Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey’
Kimitoshi Tsutaya, Yuta Wakasugi
doaj   +1 more source