Results 91 to 100 of about 226,754 (275)

Nonlinear convection in reaction-diffusion equations under dynamical boundary conditions

Electronic Journal of Differential Equations, 2013
We study the blow-up phenomena for positive solutions of nonlinear reaction-diffusion equations including a nonlinear convection term $partial_t u = Delta u - g(u) cdot abla u + f(u)$ in a bounded domain of $mathbb{R}^N$ under the dissipative ...
Gaelle Pincet Mailly, Jean-Francois Rault   +1 more
doaj  

Blow-Up Solution of a Porous Medium Equation with Nonlocal Boundary Conditions

Complexity, 2020
In this paper, we devote to studying the blow-up phenomena for a porous medium equation under nonlocal boundary conditions. Based on auxiliary functions and differential inequality technique, we derive the sufficient conditions to guarantee the existence
Huimin Tian, Lingling Zhang
doaj   +1 more source

Blow-up of cylindrically symmetric solutions for fractional NLS

Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Abstract 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, Vicenţiu D. Rădulescu, Zhitao Zhang   +2 more
openaire   +2 more sources

Ultrafast (1‐5 sec) Lamination of Perovskite Solar Cells With Self‐Encapsulation Using Rapid Joule Heating

Advanced Materials Technologies, EarlyView.
Halide perovskite solar cells are fabricated with self‐encapsulation by lamination between two glass substrates using rapid Joule heating, yielding a 99% reduction in lamination time compared to previous studies. An 18% efficient cell is laminated in 5 s, demonstrating the potential for scalable manufacturing. ABSTRACT Perovskite solar cells (PSCs) are
Oluka Okia, Md Aslam Uddin, Tianhan Gao, Zhihang Zhang, Vaishnav Madhava Das, Clare L. Lanaghan, Alexandra C. Hurd, Wei Lu, David P. Fenning, Neil P. Dasgupta   +9 more
wiley   +1 more source

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

Blow-Up Estimates of Positive Solutions of a Parabolic System

Journal of Differential Equations, 1994
The paper deals with estimates from above near the blow-up point for a class of positive solutions of the system \[ u_ t = \Delta u + v^ p, \quad v_ t = \Delta v + u^ q \] in a cylinder whose bottom is a ball in \(\mathbb{R}^ n\) centered at the origin and \(p\), \(q>1\). The system is subjected to homogeneous Dirichlet boundary conditions.
Caristi, G., Mitidieri, E.
openaire   +2 more sources

Magnetic Textiles: A Review of Materials, Fabrication, Properties, and Applications

Advanced Materials Technologies, EarlyView.
Magnetic textiles (M‐textiles) are emerging as a programmable materials platform that merges magnetic matter with hierarchical textile structures. This article consolidates magnetic material classes, textile architectures, and fabrication and magnetization strategies, revealing structure–property–function relationships that govern magneto‐mechanical ...
Li Ke, Moses Kumi, Xiaoming Tao, Junhong Pu   +3 more
wiley   +1 more source

Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition

International Journal of Analysis and Applications, 2014
This paper deals with the evolution r-Laplacian equation with absorption and nonlinear boundary condition. By using differential inequality techniques, global existence and blow-up criteria of nonnegative solutions are determined.
Iftikhar Ahmed, Chunlai Mu, Pan Zheng
doaj   +2 more sources

Improving the Robustness of Visual Teach‐and‐Repeat Navigation Using Drift Error Correction and Event‐Based Vision for Low‐Light Environments

Advanced Robotics Research, EarlyView.
Visual teach‐and‐repeat (VTR) navigation allows robots to learn and follow routes without building a full metric map. We show that navigation accuracy for VTR can be improved by integrating a topological map with error‐drift correction based on stereo vision.
Fuhai Ling, Ze Huang, Tony J. Prescott
wiley   +1 more source

Universal Gripper for Industrial Manipulation With Enhanced Rigid Mechanics and Self‐Adaptable Fingers

Advanced Robotics Research, EarlyView.
An enhanced universal gripper combining rigid mechanics with self‐adaptable fingers is presented for industrial automation. The novel six‐bar linkage with integrated compliant pad eliminates mechanical interference while enabling passive shape adaptation.
Muhammad Usman Khalid, Nirmal Kumar Ravikumar, Mattia Frascio, Sumanth Nagalakunta, Alessandro Seitone, Benoît Lévesque, Alessandro Zanella, Matteo Zoppi   +7 more
wiley   +1 more source