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It will be established that the mean oscillation of bounded weak solutions to strongly coupled parabolic systems is small in small balls. If the systems are regular elliptic then their bounded weak solutions are H\"older continuous. Further…

偏微分方程分析 · 数学 2024-04-01 Dung Le

In this paper we calculate the basic thermodynamical quantities for a system of bosonic simple harmonic oscillators (BSHOs) and the corresponding system of fermionic simple harmonic oscillators (FSHOs) using a dispersion relationship…

统计力学 · 物理学 2020-01-08 Metin Güner , Metin Arık

We establish a novel convergent iteration framework for a weak approximation of general switching diffusion. The key theoretical basis of the proposed approach is a restriction of the maximum number of switching so as to untangle and…

数值分析 · 数学 2023-07-06 Qinjing Qiu , Reiichiro Kawai

In this work, we consider error detection via simulation for reversible circuit architectures. We rigorously prove that reversibility augments the performance of this simple error detection protocol to a considerable degree. A single…

硬件体系结构 · 计算机科学 2023-01-11 Lukas Burgholzer , Robert Wille , Richard Kueng

In this paper, we investigate the extension of the recently proposed weighted Fourier burst accumulation (FBA) method into the wavelet domain. The purpose of FBA is to reconstruct a clean and sharp image from a sequence of blurred frames.…

计算机视觉与模式识别 · 计算机科学 2024-10-31 Jerome Gilles , Stanley Osher

Quantum metrology is being gradually studied for weak measurement systems. For weak measurement systems with thermal state pointer, we find that in the displacement space corresponding to imaginary weak values, the maximal QFI after…

量子物理 · 物理学 2018-11-13 Gang Li , Li-Bo Chen , Tao Wang , Zhi-Hui He , He-Shan Song

Noise prediction requires the resolution of relevant acoustic sources on all scales of a turbulent flow. High-resolution direct numerical and large-eddy simulation would be ideal but both are usually too costly despite developments in high…

流体动力学 · 物理学 2020-10-22 Sparsh Sharma , Marten Klein , Heiko Schmidt , Ennes Sarradj

This paper proposes new accurate approximations for average error probability (AEP) of a communication system employing either $M$-phase-shift keying (PSK) or differential quaternary PSK with Gray coding (GC-DQPSK) modulation schemes over…

信息论 · 计算机科学 2020-09-29 Yassine Mouchtak , Faissal El Bouanani

This paper studies the behavior of singularly perturbed nonlinear differential equations with boundary-layer solutions that do not necessarily converge to an equilibrium. Using the average of the fast variable and assuming the boundary…

系统与控制 · 计算机科学 2018-09-24 Mohammad Deghat , Saeed Ahmadizadeh , Dragan Nesic , Chris Manzie

We apply Fourier neural operators (FNOs), a state-of-the-art operator learning technique, to forecast the temporal evolution of experimentally measured velocity fields. FNOs are a recently developed machine learning method capable of…

流体动力学 · 物理学 2023-01-23 Peter I Renn , Cong Wang , Sahin Lale , Zongyi Li , Anima Anandkumar , Morteza Gharib

Deep neural network models have shown a great potential in accelerating the simulation of fluid dynamic systems. Once trained, these models can make inference within seconds, thus can be extremely efficient. However, they suffer from a…

流体动力学 · 物理学 2022-02-23 Wenhui Peng , Zelong Yuan , Jianchun Wang

Turbines are crucial to our energy infrastructure, and ensuring their bearings function with minimal friction while often supporting heavy loads is vital. Vibrations within a bearing can signal the presence of defects, friction, or…

经典物理 · 物理学 2024-12-20 Jessica J. Kent , Matheus de C. Loures , Art L. Gower

Free space optical (FSO) communications using orbital angular momentum (OAM) modes has recently received a considerable interest. Propagating OAM modes through free space may be subject to atmospheric turbulence (AT) distortions that cause…

信号处理 · 电气工程与系统科学 2019-07-10 El-Mehdi Amhoud , Abderrahmen Trichili , Boon S. Ooi , Mohamed-Slim Alouini

The problem of describing optical turbulent structures, arising in resonant media with high Fresnel numbers, is reviewed. The consideration is based on the probabilistic approach to pattern selection, ascribing a probability distribution of…

凝聚态物理 · 物理学 2015-06-24 V. I. Yukalov

We present an elementary proof for an approximate expression of the Bergman kernel on homogeneous spaces, and products of them. The error term is exponentially small with respect to the inverse semiclassical parameter.

偏微分方程分析 · 数学 2018-12-18 Alix Deleporte

We derive a closed-form expression that accurately predicts the peak frequency-shift and broadening induced by tiny perturbations of plasmonic nanoresonators without critically relying on repeated electrodynamic simulations of the spectral…

光学 · 物理学 2015-05-20 Jianji Yang , Harald Giessen , Philippe Lalanne

Accurate load prediction is an effective way to reduce power system operation costs. Traditionally, the mean square error (MSE) is a common-used loss function to guide the training of an accurate load forecasting model. However, the MSE…

系统与控制 · 电气工程与系统科学 2021-07-06 Jialun Zhang , Yi Wang , Gabriela Hug

Evaluations are presented for the prediction of wind power ramping events in the Belgian Offshore Zone. Two models from the Royal Meteorological Institute of Belgium are verified: the operational ALARO-4km and its version with Wind Farm…

The Davenport spectrum is a modification of the classical Kolmogorov spectrum for the inertial range of turbulence that accounts for non-scaling low frequency behavior. Like the classical fractional Brownian motion vis-\`a-vis the…

统计理论 · 数学 2018-08-16 B. Cooper Boniece , Gustavo Didier , Farzad Sabzikar

We present the experimental realization of a laser system for ground to satellite optical Doppler ranging at the atmospheric turbulence limit. Such a system needs to display good frequency stability (a few parts in 10^{-14}) whilst allowing…

光学 · 物理学 2013-11-12 Nicola Chiodo , Khelifa Djerroud , Ouali Acef , Andre Clairon , Peter Wolf
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