Results 71 to 80 of about 59,272 (301)

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  

Light‐Induced Precipitation of an Inorganic Phosphate for Direct Writing of Thin Films and Templating Complex Mineral Morphologies

Advanced Materials Interfaces, EarlyView.
Photoinduced patterning of inorganic materials promises advanced functionality, but often suffers from granular structures. Here, UV‐triggered dephosphorylation is used to guide the precipitation of barium phosphate with spatial control and structural continuity.
Patricia Besirske, Sara Bäum, Helmut Cölfen, Cristina Ruiz‐Agudo, Marius Schoettle, Willem L. Noorduin   +5 more
wiley   +1 more source

Minimal mass blow-up solutions for theL2critical NLS with inverse-square potential [PDF]

, 2017
Elek Csobo, François Genoud
openalex   +1 more source

High Stability of Diketopyrrolopyrrole Polymer Transistors Under Aqueous Condition Toward Biosensing Platform

Advanced Materials Technologies, EarlyView.
We are reporting the first‐time investigation of DPP‐based Organic Field‐Effect Transistor (OFET) devices with high‐stability of signal response in both of ambient and aqueous conditions with PBS solution. ABSTRACT Diketopyrrolopyrrole (DPP)–based conjugated polymers show strong promise for electronic applications, including bioelectronic gas sensors ...
Chattarika Khamhanglit, Yudai Hemmi, Ami Ichikawa, YuanTong Gu, Kuniaki Nagamine, Hiroyuki Matsui, Prashant Sonar   +6 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

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

Journal 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

Blow Up Analysis for Anomalous Granular Gases [PDF]

, 2012
Thomas Rey
openalex   +1 more source

Direct Ink Writing 3D Printing of Recyclable and Thermally Stable Vitrimers

Advanced Materials Technologies, EarlyView.
Vitrimers hold great promise in additive manufacturing as defect‐insensitive, repairable, and recyclable feedstocks. A thin‐film additively manufactured process is developed for a high‐performance vitrimer that is difficult to process traditionally.
Louis O. Vaught, Ronald Sellers, Andreas A. Polycarpou   +2 more
wiley   +1 more source

Simultaneous and non-simultaneous blow-up and uniform blow-up profiles for reaction-diffusion system

Electronic Journal of Differential Equations, 2012
This article concerns the blow-up solutions of a reaction-diffusion system with nonlocal sources, subject to the homogeneous Dirichlet boundary conditions.
Zhengqiu Ling, Zejia Wang
doaj  

Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources

Differential Equations and Nonlinear Mechanics, 2007
This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of ...
Zhoujin Cui, Zuodong Yang
doaj   +1 more source