Results 91 to 100 of about 1,100,393 (352)

On Nodal Sets for Dirac and Laplace Operators [PDF]

Communications in Mathematical Physics, 1997
LaTeX, uses pstricks macro-package, 15 pages with 2 figures; to appear in Commun.
openaire   +4 more sources

Determination of Electron Extraction in Semiconductor Photoanodes: Steady‐State and Small‐Perturbation Response

Advanced Energy Materials, EarlyView.
A unified analytical model is developed to consistently interpret the steady‐state and small‐perturbation response of photoanodes, both in the time and frequency domain. By accounting for non‐ideal electron extraction and slow hole kinetics, the model explains key experimental trends in the case of a hematite photoanode and allows extraction of related
Paola Ragonese, Chiara Maurizio, Boris Kalinic, Thomas Kirchartz, Sandheep Ravishankar   +4 more
wiley   +1 more source

Enhancing Solid Oxide Fuel Cells Development through Bayesian Active Learning

Advanced Energy Materials, EarlyView.
This article presents an active learning approach using Bayesian optimization to calibrate the multiphase‐field model parameters for simulating the aging of Ni‐GDC anodes in SOFCs. By integrating experimental data and navigating through complex parameter spaces, it enhances predictive accuracy and provides insights into microstructural evolution ...
R. K. Jeela, G. Tosato, M. Ahmad, M. Wieler, A. Koeppe, B. Nestler, D. Schneider   +6 more
wiley   +1 more source

The Application of Abstract Algebra in Operational Calculus

Fractal and Fractional
This paper is dedicated to elucidating the abstract algebraic structure of operational calculus theory. Based on abstract algebra and operational calculus, the operator algebra theory of Mikusiński has been revised. We restate the concept of Mikusiński’s
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
doaj   +1 more source

Detection and Quantification of Over‐Humidification in Polymer Electrolyte Fuel Cells: Insights into Simulation, Imaging, and Sensors

Advanced Energy and Sustainability Research, EarlyView.
This review highlights advanced methods for detecting and managing over‐humidification in polymer electrolyte fuel cells (PEFCs), emphasizing innovative sensors, simulation techniques, and imaging methods. By addressing the impact of water management on fuel‐cell performance and durability, this study outlines practical and sustainable solutions for ...
Maximilian Käfer, Viktor Hacker, Merit Bodner   +2 more
wiley   +1 more source

On the fractional Laplace-Bessel operator

AIMS Mathematics
In this paper, we propose a novel approach to the fractional power of the Laplace-Bessel operator $ \Delta_{\nu} $, defined as$ \Delta_{\nu} = \sum\limits_{i = 1}^{n}\frac{\partial^2}{\partial x_{i}^2} + \frac{\nu_i}{x_{i}}\frac{\partial}{\partial x_{i}}
Borhen Halouani, Fethi Bouzeffour
doaj   +1 more source

A Multiscale Pore Analysis Method for Polymer Electrolyte Membrane Fuel Cell Catalyst Layers Validated and Exemplified by Correlating Microstructure with Production Process Parameters

Advanced Energy and Sustainability Research, EarlyView.
A multiscale pore analysis method is presented for polymer electrolyte membrane fuel cell catalyst‐coated membranes (CCMs), integrating mercury intrusion porosimetry, focused ion beam scanning electron microscopy image analysis via a custom MATLAB tool, and optical/atomic‐force microscopy.
Ahammed Suhail Odungat, Lars Grebener, Oliver Pasdag, Thai Binh Nguyen, Yawen Zhu, Sebastian Kohsakowski, Ivan Radev, Fatih Özcan, Doris Segets   +8 more
wiley   +1 more source

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  

Eigenvalues of the fractional Laplace operator in the interval

Journal of Functional Analysis, 2012
Two-term Weyl-type asymptotic law for the eigenvalues of one-dimensional fractional Laplace operator (-d^2/dx^2)^(alpha/2) (0 < alpha < 2) in the interval (-1,1) is given: the n-th eigenvalue is equal to (n pi/2 - (2 - alpha) pi/8)^alpha + O(1/n). Simplicity of eigenvalues is proved for alpha in [1, 2).
Mateusz Kwaśnicki, Mateusz Kwaśnicki
openaire   +3 more sources

Functional Nanosensor‐Integrated System Based on Molecularly Imprinted Quartz Crystal Microbalance for Rapid In Situ Detection of 3‐Chloro‐1,2‐Propanediol in Paper‐Based Food Contact Materials

Aggregate, EarlyView.
This study developed a rapid, in situ, and derivatization‐free detection system for 3‐MCPD in paper‐based food contact materials, based on molecular imprinting and quartz crystal microbalance sensing technologies, achieving a detection limit of 0.006 µM and reducing analysis time by 75% compared to traditional methods.
Jinwei Zhao, Yi Xie, Haodong Guo, Jiali Pu, Qiuping Wu, Shuangquan Yao, Chen Liang, Shiming Zhang, Baojie Liu, Caoxing Huang, Chengrong Qin   +10 more
wiley   +1 more source