Results 61 to 70 of about 302 (211)

Asymptotic Behavior of a Class of Degenerate Parabolic Equations

Abstract and Applied Analysis, 2012
We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain () with a polynomial growth nonlinearity of arbitrary order.
Hongtao Li, Shan Ma
doaj   +1 more source

Unveiling α‐MoO3 as a High‐Index, Low‐Loss Anisotropic Material: Bridging the Gap From Mid‐Infrared to Ultraviolet Nanophotonics

Advanced Materials, EarlyView.
α‐MoO3 is established as a high‐index, low‐loss anisotropic platform bridging mid‐infrared polaritonics and ultraviolet‐visible nanophotonics. Spectroscopic ellipsometry and calculations reveal refractive indices exceeding 3.9, with the largest in‐plane birefringence among transparent layered crystals at 425–500 nm, enabling zero‐order UV waveplates ...
Adilet N. Toksumakov, Dmitriy V. Grudinin, Georgy A. Ermolaev, Alexey P. Tsapenko, Anton A. Minnekhanov, Konstantin V. Kravtsov, Nikolay V. Pak, Arslan B. Mazitov, Andrey A. Vyshnevyy, Aleksandr S. Slavich, Ivan A. Kruglov, Gleb I. Tselikov, Aleksey V. Arsenin, Kostya S. Novoselov, Valentyn S. Volkov   +14 more
wiley   +1 more source

Photoactive Tweezers

Advanced Materials, EarlyView.
A photoactive tweezers system based on photoactive colloids is developed and systematically investigated in this study. Through experimental and theoretical methods, we demonstrate that the photoredox reaction catalyzed by a dye‐sensitized TiO2 particle generates a strong positive phototaxis, enabling self‐entrapment in the beam center.
Jingyuan Chen, Qingxin Guo, Shiwei Zhang, Donghao Cui, Changjin Wu, Pei Xu, Wei Wang, Kai Lou, Binglin Zeng, Jinyao Tang   +9 more
wiley   +1 more source

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients

Electronic Journal of Differential Equations, 2005
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.
Hongjie Dong, Nicolai V. Krylov
doaj  

Energy Band Alignment and Electro‐Optical Behavior of Nearly Unstrained Monolayer MoS2 Heterostructures With GaN

Advanced Materials Interfaces, EarlyView.
Large size (∼100 µm) monolayer MoS2 grown by LPI‐CVD on n‐GaN exhibit a high n‐type doping, very low strain, and a type‐I band alignment at MoS2/GaN interface. Photocurrent measurements under illumination with photon energies from ∼2 to ∼5 eV show superior electro‐optical performances of these MoS2/n‐GaN heterojunctions as compared to Ni/n‐GaN devices ...
Salvatore Ethan Panasci, Emanuela Schilirò, Giuseppe Greco, Patrick Fiorenza, Fabrizio Roccaforte, Fiorenza Esposito, Igor Píš, Federica Bondino, Antonino Madonia, Marco Cannas, Simonpietro Agnello, Luca Seravalli, Filippo Giannazzo   +12 more
wiley   +1 more source

Digital Twin of a One‐Sun‐Driven Luminescent‐Concentrator‐Assisted Planar Solar‐Pumped Fiber Laser

Advanced Optical Materials, EarlyView.
An experimentally‐validated digital twin of a one‐sun solar‐pumped fiber laser enables a design exhibit 13‐times higher output power at 1064 nm to be achieved. Despite its simple appearance, the multitude of choices in the design parameters make finding this improved very tedious in the lab, thus the digital twin can save significant time and effort ...
Anvarjon Sherniyozov, Dmitry Busko, Bryce S. Richards   +2 more
wiley   +1 more source

Approximate general solution of degenerate parabolic equations related to population genetics

Electronic Journal of Differential Equations, 1995
degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new ...
Kazuo Amano
doaj  

A boundary value problem for the fourth-order degenerate equation of the mixed type

Қарағанды университетінің хабаршысы. Математика сериясы
Many problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
doaj   +1 more source

Studying behavior of the asymptotic solutions to P-Laplacian type diffusion-convection model [PDF]

مجلة جامعة الانبار للعلوم الصرفة
The rescaling method is presented to allow us to establish nonnegative local solutions to the evolution of the Cauchy problem (CP) of the nonlinear degenerate parabolic p-Laplacian process with conservation laws that are posed in one-dimensional space ...
Habeeb Aal-Rkhais, Ruba Qasim
doaj   +1 more source

Deterministic Transferable Planar Dielectric Mirrors for Investigating Strong Light–Matter Coupling

Advanced Optical Materials, EarlyView.
Transferable dielectric distributed Bragg reflectors enable the deterministic assembly of high‐quality planar microcavities while maintaining the intrinsic properties of quantum materials during fabrication. The resulting structures exhibit robust exciton‐photon coupling in monolayer WS2${\rm WS}_{2}$ from cryogenic to room temperature, establishing a ...
Atanu Patra, Subhamoy Sahoo, Johannes Düreth, Simon Betzold, Sven Höfling   +4 more
wiley   +1 more source