Results 51 to 60 of about 159,157 (335)

A nonlocal mixed semilinear problem for second-order hyperbolic equations

Electronic Journal of Differential Equations, 2003
In this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition. We establish a blow up result for large initial data and a decay result for small initial data.
Said Mesloub, Salim A. Messaoudi
doaj  

Structural stability of Supersonic solutions to the Euler-Poisson system

, 2019
The well-posedness for the supersonic solutions of the Euler-Poisson system for hydrodynamical model in semiconductor devices and plasmas is studied in this paper. We first reformulate the Euler-Poisson system in the supersonic region into a second order
Bae, Myoungjean, Duan, Ben, Xiao, Jingjing, Xie, Chunjing   +3 more
core   +1 more source

Spectrally Tunable 2D Material‐Based Infrared Photodetectors for Intelligent Optoelectronics

Advanced Functional Materials, EarlyView.
Intelligent optoelectronics through spectral engineering of 2D material‐based infrared photodetectors. Abstract The evolution of intelligent optoelectronic systems is driven by artificial intelligence (AI). However, their practical realization hinges on the ability to dynamically capture and process optical signals across a broad infrared (IR) spectrum.
Junheon Ha, Yingshan Ma, Yong Nam An, Sung‐Un An, Hyeon Hak Jung, Suvi‐Tuuli Varjamo, Jiwon Yoo, Junho Min, Hanvit Kim, Faisal Ahmed, Sang Hoon Chae, Young Min Song, Weiwei Cai, Tawfique Hasan, Zhipei Sun, Dong‐Ho Kang, Hyeon‐Jin Shin, Yunyun Dai, Hoon Hahn Yoon   +18 more
wiley   +1 more source

Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems

Networks and Heterogeneous Media
This paper focused on approximating a second-order nonlinear hyperbolic optimal control problem. By introducing a new variable, the hyperbolic equation was converted into two parabolic equations.
Huanhuan Li, Meiling Ding, Xianbing Luo, Shuwen Xiang   +3 more
doaj   +1 more source

Generalized heat-transport equations: Parabolic and hyperbolic models

, 2018
We derive two different generalized heat-transport equations: The most general one, of the first order in time and second order in space, encompasses some well known heat equations and describes the hyperbolic regime in the absence of nonlocal effects ...
Cimmelli, Vito Antonio, Kovács, Róbert, Rogolino, Patrizia, Ván, Péter   +3 more
core   +1 more source

Controlled Movement of Soft Actuators using Multi‐Responsive Microgel Arrays and Microcirculatory Systems

Advanced Functional Materials, EarlyView.
Microscale hydrogels (microgels) feature improved mass transport characteristics supportive of fast actuation and chemical tunability amenable to programmed stimuli response. A unique soft actuator architecture is realized by encapsulating microgels in soft microcirculatory systems which enable the convenient delivery of liquid stimuli for powering and
Nengjian Huang, Brennan P. Watts, Stephen A. Morin   +2 more
wiley   +1 more source

Galerkin single-step methods for second-order hyperbolic equations

Computers & Mathematics with Applications, 1986
Single step methods coupled with Galerkin discretization in space are directly applied to second-order hyperbolic equations. Optimal order convergence estimates in \(L^ 2\) for a general class of Nyström methods are proposed.
openaire   +1 more source

On a nonlinear nonlocal hyperbolic system modeling suspension bridges

, 2015
We suggest a new model for the dynamics of a suspension bridge through a system of nonlinear nonlocal hyperbolic differential equations. The equations are of second and fourth order in space and describe the behavior of the main components of the bridge:
Arioli, Gianni, Gazzola, Filippo
core   +1 more source

Spatially Tailorable Liquid Crystalline Elastomer Alignment During Digital Light Process 3D Printing

Advanced Functional Materials, EarlyView.
Here, we report the fabrication of 3D printable liquid crystalline elastomer (LCE) structures with spatially tailorable alignment domains within the same layer. This work addresses the long‐standing challenge of preparing complex 3D LCE architectures with patterned functional domains to achieve nonlinear deformations. Fabrication of multi‐domains in 3D
Adam Bischoff, Saman Jamshididana, Zach Miller, Kassandra Hernandez, Nicolas Gonsalves, Andre Olarra, Elliot Yoo, Jeremy A. Herman, Devin J. Roach   +8 more
wiley   +1 more source

Three‐Dimensional Hierarchical Nanowire‐Networks with Deep‐Focus Tolerance and Adhesion Robustness for Harsh‐Environment SERS Sensing

Advanced Functional Materials, EarlyView.
A 3D nanowire‐network SERS substrate with robust adhesion is developed, featuring pronounced z‐direction optical activity, ultralow detection limit (1.5 × 10−13 M), and excellent signal uniformity (RSD < 10%). Enabled by enhanced light scattering, increased optical density of states, and structural reinforcement, the substrate demonstrates stable, high‐
Jinglai Duan, Wentao Wang, Xiu Liang, Yongliang Zhang, Jie Liu, Yu Bai, Dangyuan Lei   +6 more
wiley   +1 more source