Results 141 to 150 of about 255,795 (302)
A Note on the Blow-up Pattern for a Parabolic Equation [PDF]
, 1999 We consider here some conditions on initial value for parabolic problem which guarantee the blow-up of a solution. Then we study the behaviour of blow-up solution near blow-up time, that is blow-up patterns.departmental bulletin ...
Kohda, Atsuhito +6 more
core
, 2006 A numerical method is proposed for estimating the blow-up time and the blow-up rate of the solution of ordinary differential equation (ODE), when the solution diverges at a finite time, that is, the blow-up time.
Hirota, Chiaki, Ozawa, Kazufumi
core +1 more source
Advanced Electronic Materials, EarlyView.Biodegradable wood‐based bioelectronics are realized by integrating poly (2,3‐ethylenedioxythiopene:lignosulfonate (PEDOT:LigS) as a mixed ionicelectronic channel in organic electrochemical transistors fabricated on paper substrates. The biocomposite exhibits high conductivity, biocompatibility, and strong transistor performance, while devices built on
Katharina Matura +8 more
wiley +1 more source
AIChE Journal, EarlyView.Abstract Electrification of distillation offers a promising route to reducing scope‐1 emissions from one of the chemical industry's most energy‐intensive unit operations. However, conventional adiabatic columns are dynamically inflexible: Long, energy‐intensive start‐ups make shutdown and restart impractical under variable electricity prices and ...
Samuel Mercer, Michael Baldea
wiley +1 more source
Blow up and quenching for a problem with nonlinear boundary conditions
Electronic Journal of Differential Equations, 2015 In this article, we study the blow up behavior of the heat equation $ u_t=u_{xx}$ with $u_x(0,t)=u^{p}(0,t)$, $u_x(a,t)=u^q(a,t)$. We also study the quenching behavior of the nonlinear parabolic equation $v_t=v_{xx}+2v_x^{2}/(1-v)$ with $v_x(0,t)=(1-v(
Nuri Ozalp, Burhan Selcuk
doaj
, 2017 Scalar reaction-diffusion type partial differential equations (PDE) exhibit a phenomenon called blow-up. A solution blows-up in finite time if it ceases to exist in the solutions space, i.e. the norm grows to infinite.
Stuke, Hannes
core +1 more source
AIChE Journal, EarlyView.ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho +4 more
wiley +1 more source
Bubbles Acting as Micro End‐Effectors for Dexterous Manipulation and Sensing in Aqueous Environment
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.Inspired by bubbles, this article proposes a low‐cost method for multifunctional manipulation and sensing using microbubbles in aqueous environments. Bubbles are easily generated in situ, enabling the safe and adaptive handling of microobjects and sensing of microforces and surface textures.
Zichen Xu, Qingsong Xu
wiley +1 more source
Blow-up of cylindrically symmetric solutions for fractional NLS
Proceedings of the Royal Society of Edinburgh: Section A MathematicsAbstract In this paper, we consider blow-up of solutions to the Cauchy problem for the following fractional Nonlinear Schrödinger Equation (NLS), \begin{equation*} \mathrm{i} \, \partial_t u=(-\Delta)^s u-|u|^{2 \sigma} u \quad \text{in} \,\, \mathbb{R} \times \mathbb{R}^N, \end{equation*} where $N \geq 2$
Tianxiang Gou +2 more
openaire +2 more sources
Microfluidic Valve‐Integrated Garment for Smooth Sequential Gradient Mechanotherapy
Advanced Intelligent Systems, EarlyView.We present a soft wearable sleeve that delivers smooth, gap‐free compression using overlapping air‐filled actuators and tiny microfluidic valves. The system reduces bulk, lowers power needs, and uses a smartphone‐sized control box. It can provide sequential gradient compression, gradient pressure holding, and fast deflation, supporting more portable ...
Run Ze Gao +5 more
wiley +1 more source