Results 41 to 50 of about 5,570 (264)

Boundary Value Problems for the Three-Dimensional Helmholtz Equation in the Unbounded Octant, Square and Half Space

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
At present, the results of the study of boundary value problems for the two-dimensional Helmholtz equation with one and two singular coefficients are known.
Arzikulov, Z.O.
doaj   +1 more source

On a characterization of bilinear forms on the Dirichlet space [PDF]

Proceedings of the American Mathematical Society, 2011
Arcozzi, Rochberg, Sawyer and Wick obtained a characterization of the holomorphic functions b b such that the Hankel type bilinear form T b ( f , g ) = ∫ D
Cascante, Ma. Carme (Maria Carme), Ortega Aramburu, Joaquín M.   +1 more
openaire   +2 more sources

CFD modeling and sensitivity‐guided design of silicon filament CVD reactors

AIChE Journal, EarlyView.
Abstract Filament‐based chemical vapor deposition (CVD) for silicon (Si) coatings is often treated as an adaptation of planar deposition. But this overlooks fundamental shifts in transport phenomena and reaction kinetics. In filament CVD, the filament acts as a substrate, heat source, and flow disruptor simultaneously. In this work, we ask: What really
G. P. Gakis, G. Loachamín‐Suntaxi, I. G. Aviziotis, E. D. Koronaki, P. P. Filippatos, G. Chatzigiannakis, S. P. A. Bordas, D. Davazoglou, A. G. Boudouvis   +8 more
wiley   +1 more source

A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method

AIChE Journal, EarlyView.
Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen, Y. Sterkenburgh, Y. Tang, N. G. Deen, M. W. Baltussen   +4 more
wiley   +1 more source

Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem

Journal of Applied Mathematics, 2012
We consider the one-dimensional steady fin problem with the Dirichlet boundary condition at one end and the Neumann boundary condition at the other.
R. J. Moitsheki, M. D. Mhlongo
doaj   +1 more source

On closability of classical Dirichlet forms

Journal of Functional Analysis, 2004
Let \(H\) be a Hilbert space, \(D({\mathcal E})\) a linear subspace of \(H\) and \({\mathcal E}:D({\mathcal E})\times D({\mathcal E})\to \mathbb R\) a nonnegative symmetric bilinear form. The form is closable if \(u_n\in D({\mathcal E})\), with \(u_n\to0\) in \(H\) and \({\mathcal E}(u_n-u_m,u_n-u_m)\to0\) implies that \({\mathcal E}(u_n,u_n)\to0 ...
openaire   +2 more sources

Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics

Advanced Intelligent Discovery, EarlyView.
Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong, Zijian Huang, Xuanwu Wang, Zhenghui Feng, Wei Liu, Bingding Huang   +5 more
wiley   +1 more source

Coefficients of symmetric power L-functions on integers under digital constraints [PDF]

Notes on Number Theory and Discrete Mathematics
Let λₛᵧₘʳ_f(n) be the n-th coefficient in the Dirichlet series representing the symmetric power L-function attached to a primitive form f of weight k and level N.
Khadija Mbarki
doaj   +1 more source

Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning

Advanced Intelligent Discovery, EarlyView.
Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang, Yongqing Zhang, Xinyu Deng, Hyeon Jeong Lee, Delong Zhang   +4 more
wiley   +1 more source

Binomial convolution sum of divisor functions associated with Dirichlet character modulo 8

Open Mathematics
In this article, we compute binomial convolution sums of divisor functions associated with the Dirichlet character modulo 8, which is the remaining primitive Dirichlet character modulo powers of 2 yet to be considered.
Jin Seokho, Park Ho
doaj   +1 more source