Results 41 to 50 of about 27,775 (268)

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  

Global Existence and Blow-Up of Solutions to a Parabolic Nonlocal Equation Arising in a Theory of Thermal Explosion

Journal of Function Spaces, 2022
Focusing on the physical context of the thermal explosion model, this paper investigates a semilinear parabolic equation ut=Δu+a∫Ωupdx,x,t∈QT,n·∇u+guu=0,x,t∈ST,ux,0=u0x,x∈Ω with nonlocal sources under nonlinear heat-loss boundary conditions, where a,p>0 ...
Wenyuan Ma, Zhixuan Zhao, Baoqiang Yan
doaj   +1 more source

Advancements in Hypersaline Wastewater Treatment: The Promise of Quasi‐Liquid Surfaces to Reduce Salt Scaling

Advanced Functional Materials, EarlyView.
Durable quasi‐liquid polymer brush surfaces provide an anti‐scaling strategy for hypersaline brine evaporation and zero‐liquid‐discharge desalination. The smooth, liquid‐like QLS interface suppresses substrate‐side salt nucleation, promotes compact crystallization and dewetting, reduces crystal–surface contact area, and enables low‐adhesion salt ...
Mohammed Imran Khan, Bei Fan
wiley   +1 more source

Asymptotic behaviour of positive large solutions of quasilinear logistic problems

Electronic Journal of Qualitative Theory of Differential Equations, 2015
We are interested in the asymptotic analysis of singular solutions with blow-up boundary for a class of quasilinear logistic equations with indefinite potential.
Ramzi Alsaedi, Habib Maagli, Vicenţiu Rădulescu, Noureddine Zeddini   +3 more
doaj   +1 more source

Blow-up analysis for parabolic p-Laplacian equations with a gradient source term

Journal of Inequalities and Applications, 2020
In this work, we deal with the blow-up solutions of the following parabolic p-Laplacian equations with a gradient source term: { ( b ( u ) ) t = ∇ ⋅ ( | ∇ u | p − 2 ∇ u ) + f ( x , u , | ∇ u | 2 , t ) in  Ω × ( 0 , t ∗ ) , ∂ u ∂ n = 0 on  ∂ Ω × ( 0 , t ∗
Juntang Ding
doaj   +1 more source

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

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

Electronic 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  

Monolithic 3D‐Integrated All‐Solid Ion‐Gated Carbon Nanotube Transistors With Tunable Ionic Conductance for Multi‐Timescale Reservoir Computing

Advanced Materials, EarlyView.
A dual‐timescale reservoir based on monolithically 3D (M3D)‐integrated CNT solid ion‐gated transistors is demonstrated. Tunable ionic dynamics and pulse‐engineered operation enable linear and symmetric synaptic updates. The M3D‐integrated array achieves robust temporal encoding and accurate classification of moving MNIST sequences, highlighting its ...
Haksoon Jung, Hanbin Cho, Yongwoo Lee, Seunghun Baek, Hyeongjun Kim, Yun Goo Ro, Hyunhyub Ko, Joonki Suh, Yong‐Young Noh, Jimin Kwon   +9 more
wiley   +1 more source

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

Advances 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

Blow-up Rate Estimates for Parabolic Equations

, 2012
We consider the blow-up sets and the upper blow-up rate estimates for two parabolic problems defined in a ball.
Rasheed, Maan A., Chlebik, Miroslav
openaire   +2 more sources