Results 71 to 80 of about 171,021 (301)
Correction to Blow-up directions at space infinity for solutions of semilinear heat equations
Boletim da Sociedade Paranaense de Matemática, 2006 This work presents corrections to "Blow-up directions at space infinity for solutions of semilinear heat equations" published in BSPM 23(2005), 9-28.
Noriaki Umeda, Yoshikazu Giga
doaj
Advanced Materials, EarlyView.Mechanochromic hydroxypropyl cellulose (HPC) integrated with microfluidic devices creates scalable, eco‐friendly reflective color displays. We demonstrate mechanochromic displays with 500 µm pixel size and 5Hz switching rates with room for optimisation. The proposed mechanochromic HPC displays are an initial step toward more environmentally responsible
Charles H. Barty‐King +4 more
wiley +1 more source
Blow up of solutions to semilinear wave equations
Electronic 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
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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
Advanced Materials, EarlyView.This work presents a wafer‐scale fabrication method for high‐performance p‐type organic permeable base transistors (OPBTs) using electrochemical anodization. The anodized OPBTs achieve high on‐current density, low leakage, MHz‐range operation, and exceptional current gain.
Juan Wang +8 more
wiley +1 more source
Nonlinear Convection in Reaction-diffusion Equations under dynamical boundary conditions
, 2012 We investigate blow-up phenomena for positive solutions of nonlinear reaction-diffusion equations including a nonlinear convection term $\partial_t u = \Delta u - g(u) \cdot \nabla u + f(u)$ in a bounded domain of $\mathbb{R}^N$ under the dissipative ...
Mailly, Gaëlle Pincet +1 more
core +1 more source
Electrospinning and Nanofiber Technology: Fundamentals, Innovations, and Applications
Advanced Materials, EarlyView.This review explores electrospinning fundamentals, methods for synthesizing polymer, metal oxide, carbon, and composite nanofibers, and advancements in fiber architectures like porous, core–shell, and aligned structures. It highlights applications in functional membranes, sensors, energy systems, and catalyst design while addressing future ...
Yujang Cho +5 more
wiley +1 more source
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
Electronic Research ArchiveIn this paper, we study the initial boundary value problem for a class of higher-order nonlinear pseudo-parabolic equations with a memory term. First, the blow-up results of the solution when the initial energy is negative or positive are obtained by ...
Qianqian Zhu, Yaojun Ye , Shuting Chang
doaj +1 more source
Blow-up of waves on singular spacetimes with generic spatial metrics. [PDF]
Lett Math Phys, 2022 Fajman D, Urban L.
europepmc +1 more source