Results 91 to 100 of about 128,747 (328)

On some possible applications of Laplace operator in a revolved coordinate system for numerical calculations

Тонкие химические технологии, 2013
The Laplace operator in a revolved coordinate system (the “revolved” Laplace operator) is introduced in numerical mesh method along diagonal lines. In this paper an attempt is made to use it for numerical solution of the two-dimensional Poisson equation.
A. B. Chaadaev
doaj  

Optical computation of the Laplace operator at oblique incidence using a multilayer metal-dielectric structure

, 2023
Leonid L. Doskolovich, Artem I. Kashapov, Evgeni A. Bezus, Nikita V. Golovastikov, Dmitry A. Bykov   +4 more
openalex   +1 more source

Characterization of Droplet Formation in Ultrasonic Spray Coating: Influence of Ink Formulation Using Phase Doppler Anemometry and Machine Learning

Advanced Materials Technologies, EarlyView.
This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding, Danny E. P. Vanpoucke, Yunus T. Aksoy, Tobias Corthouts, Maria R. Vetrano, Wim Deferme   +5 more
wiley   +1 more source

Accelerating Luminescence in Nanostructures: Exploring the Physical Limits and Impact of Ultrafast Emission in Nanoscale Materials

Advanced Photonics Research, EarlyView.
This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida, Koichi Okamoto, Takuya Matsuda, Hajime Ishihara   +3 more
wiley   +1 more source

Moduli spaces of meromorphic functions and determinant of Laplacian

, 2014
The Hurwitz space is the moduli space of pairs $(X,f)$ where $X$ is a compact Riemann surface and $f$ is a meromorphic function on $X$. We study the Laplace operator $\Delta^{|df|^2}$ of the flat singular Riemannian manifold $(X,|df|^2)$.
Hillairet, Luc, Kalvin, Victor, Kokotov, Alexey   +2 more
core  

Capillary Dynamics Analysis of Millimetric Tubes for Anti‐Slip Surfaces: A Phase‐Field Based Finite Element Approach and Experimental Validation

Advanced Theory and Simulations, EarlyView.
Phase‐field method based numerical modelling of the capillary rise in millimeter‐sized tubes, aiming for anti‐slip applications. The experimental validation was performed through capillary assays in polyethylene oxide (PEO) bulk modified polydimethylsiloxane (PDMS) channels.
Shivam Sharma, Vipin Richhariya, Diana Pinho, Óscar Carvalho, Filipe S. Silva, Ashis Tripathy, Nuno Dourado, Susana O. Catarino   +7 more
wiley   +1 more source

Pervasiveness of the p-Laplace operator under localization of fractional g-Laplace operators

Journal of Nonlinear and Variational Analysis
In this work we analyze the behavior of truncated functionals as \begin{equation*} \int_{\mathbb{R}^N}\int_{B(x,δ)} G\left(\frac{|u(x)-u(y)|}{|x-y|^{s}}\right)\frac{dydx}{|x-y|^N}\qquad\text{for }δ\to0^+. \end{equation*} Here the function $G$ is an Orlicz function that in addition is assumed to be a regularly varying function at $0$.
openaire   +4 more sources

Anisotropically Wettable Porous Transport Layers for Gas Management in Water Electrolyzers

Advanced Science, EarlyView.
Synergistic wetting, achieved by integrating hydrophilic and hydrophobic domains, enhances mass transport in porous transport layers. In situ visualization reveals that dual‐phase wetting suppresses gas accumulation and promotes continuous bubble release, enabling stable, bubble‐free electrolysis within membrane electrode assemblies.
Yunseok Kang, Seunghyun Lee, Jinseo Lee, Soi Lee, Geonwoo Lee, Hyeongoo Kim, Gwan Hyun Choi, Jungki Ryu, Dong Woog Lee   +8 more
wiley   +1 more source

Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator

Journal of Mathematics, 2020
In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved.
Tingting Guan, Guotao Wang
doaj   +1 more source

Infinitesimal aspects of the Laplace operator

, 2000
In the context of synthetic differential geometry, we study the Laplace operator an a Riemannian manifold. The main new aspect is a neighbourhood of the diagonal, smaller than the second neighbourhood usually required as support for second order ...
Kock, Anders
core   +3 more sources