Results 71 to 80 of about 242,721 (361)
A singular integral of the composite operator
Applied Mathematics Letters, 2009 We establish the Poincare-type inequalities for the composition of the homotopy operator and the projection operator. We also obtain some estimates for the integral of the composite operator with a singular density.
Shusen Ding, Bing Liu
openaire +2 more sources
Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture
Advanced Engineering Materials, EarlyView.Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee +3 more
wiley +1 more source
Planewave density interpolation methods for 3D Helmholtz boundary integral equations
, 2019 This paper introduces planewave density interpolation methods for the regularization of weakly singular, strongly singular, hypersingular and nearly singular integral kernels present in 3D Helmholtz surface layer potentials and associated integral ...
Faria, Luiz +2 more
core +2 more sources
Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani +2 more
wiley +1 more source
Weighted Local Estimates for Singular Integral Operators [PDF]
, 2013 A local median decomposition is used to prove that a weighted local mean of a function is controlled by a weighted local mean of its local sharp maximal function.
J. Poelhuis, A. Torchinsky
semanticscholar +1 more source
A Different Perspective on the Solid Lubrication Performance of Black Phosphorous: Friend or Foe?
Advanced Engineering Materials, EarlyView.Researchers investigate black phosphorous (BP) as a standalone solid lubricant coating through ball‐on‐disc linear‐reciprocating sliding experiments in dry conditions. Testing on different metals shows BP doesn't universally reduce friction and wear. However, it achieves 33% friction reduction on rougher iron surfaces and 23% wear reduction on aluminum.
Matteo Vezzelli +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2018 In this article we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of transmutation operators by this method.
Ahmed Fitouhi +3 more
doaj
On the Multilinear Singular Integrals and Commutators in the Weighted Amalgam Spaces
Journal of Function Spaces, 2014 This paper is concerned with the norm estimates for the multilinear singular integral operators and their commutators formed by BMO functions on the weighted amalgam spaces Lvw→q,Lpαℝn. Some criterions of boundedness for such operators in Lvw→q,Lpαℝn are
Feng Liu, Huoxiong Wu, Daiqing Zhang
doaj +1 more source
A study on pointwise approximation by double singular integral operators
, 2015 In the present work we prove the pointwise convergence and the rate of pointwise convergence for a family of singular integral operators with radial kernel in two-dimensional setting in the following form: Lλ(f;x,y)=∬Df(t,s)Hλ(t−x,s−y)dtds$L_{\lambda ...
G. Uysal, Mine Menekse Yilmaz, E. Ibikli
semanticscholar +1 more source
Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 more
wiley +1 more source