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Inferring a diffusion equation from discretely-observed measurements is a statistical challenge of significant importance in a variety of fields, from single-molecule tracking in biophysical systems to modeling financial instruments.…

Machine Learning · Statistics 2023-12-12 Yinuo Ren , Yiping Lu , Lexing Ying , Grant M. Rotskoff

Recent work suggests unstable recurrent solutions of the equations governing fluid flow can play an important role in structuring the dynamics of turbulence. Here we present a method for detecting intervals of time where turbulence…

The viscous force should be shear force, the difference between the strain-rate viscosity and the slip viscosity is that the former has conjugate shear force, while the latter does not. The study in this paper verifies the physical…

Fluid Dynamics · Physics 2026-01-15 Jian He , Jin Wang , Qiaocong Kong , Penglong Zhao , Xiaoshu Cai , Xiaohang Zhang , Wennan Zou

The background method is adapted to derive rigorous limits on surface speeds and bulk energy dissipation for shear stress driven flow in two and three dimensional channels. By-products of the analysis are nonlinear energy stability results…

Fluid Dynamics · Physics 2015-06-16 George I. Hagstrom , Charles R. Doering

The Derviche Tourneur Sodium experiment, a spherical Couette magnetohydrodynamics experiment with liquid sodium as the medium and a dipole magnetic field imposed from the inner sphere, recently underwent upgrades to its diagnostics to…

Fluid Dynamics · Physics 2018-04-18 Elliot Kaplan , Henri-Claude Nataf , Nathanaël Schaeffer

Wall-bounded turbulent flows are chaotic and multiscale, rendering real-time prediction at high Reynolds numbers computationally prohibitive in applications such as wind farms. Classical data assimilation methods are based on repeated…

Fluid Dynamics · Physics 2026-05-25 Fabian Steinbrenner , Baris Turan , Hao Teng , Heng Xiao

We study the diffusion of anti-plane elastic waves in a two dimensional continuum by many, randomly placed, screw dislocations. Building on a previously developed theory for coherent propagation of such waves, the incoherent behavior is…

Materials Science · Physics 2016-08-30 Dmitry Churochkin , Fernando Lund

Molecular absorption and photo-electron spectra can be efficiently predicted with real-time time-dependent density-functional theory (TDDFT). We show here how these techniques can be easily extended to study time-resolved pump-probe…

Atomic and Molecular Clusters · Physics 2013-01-10 Umberto De Giovannini , Gustavo Brunetto , Alberto Castro , Jessica Walkenhorst , Angel Rubio

This work investigates the temporal dispersion of a wireless terahertz communication signal caused by reflection from a rough (diffuse) surface, and its subsequent impact on symbol error rate versus data rate. Broadband measurements of…

Signal Processing · Electrical Eng. & Systems 2021-04-02 Russ Messenger , Karl Strecker , Sabit Ekin , John O'Hara

A spatio-temporal metasurface is proposed to decompose in real time the temporal frequencies of electromagnetic waves into spatial frequencies onto a two-dimensional plane. The metasurface is analyzed and demonstrated using Fourier…

Optics · Physics 2014-12-30 Shulabh Gupta , Christophe Caloz

Motivated by previous work on kinetic energy cascades in the ocean and atmosphere, we develop a spatio-temporal spectral transfer tool that can be used to study scales of variability in generalized dynamical systems. In particular, we use…

Time-resolved dynamics in charge-density-wave materials have revealed interesting out-of-equilibrium electronic responses. However these are typically only performed in a single material possessing a CDW. As such, it is challenging to…

This paper concerns the Couette flow for 2-D compressible Navier-Stokes equations (N-S) in an infinitely long flat torus $\Torus\times\R$. Compared to the incompressible flow, the compressible Couette flow has a stronger lift-up effect and…

Analysis of PDEs · Mathematics 2024-09-11 Feimin Huang , Rui Li , Lingda Xu

Spanwise wall oscillation (SWO) of turbulent boundary layers (TBLs) is investigated via direct numerical simulations over an extended actuation region with oscillation periods up to T_{sc}^+=600, scaled by the uncontrolled friction velocity…

Fluid Dynamics · Physics 2026-03-27 Jizhong Zhang , Fazle Hussain , Jie Yao

In this paper, we investigate the long-time behavior of a passive scalar advected by a parallel shear flow in an infinite cylinder with unbounded cross section, in the regime where the viscosity coefficient satisfies $\nu \ll 1$, and in…

Analysis of PDEs · Mathematics 2025-10-16 Te Li , Le Zhang

Time-resolved terahertz time-domain spectroscopy (THz-TDS) is an ideal tool for probing photoinduced nonequilibrium metallic and superconducting states. Here, we focus on the interpretation of the two-dimensional response function…

Superconductivity · Physics 2015-10-14 J. Orenstein , J. S. Dodge

Solids undergoing a transition from order to disorder experience the proliferation of topological defects. The melting process generates transient quantum states. However, their dynamical nature with femtosecond lifetime hinders exploration…

Strongly Correlated Electrons · Physics 2023-12-15 Sanghun Lee , Eunseo Kim , Junho Bang , Jongho Park , Changyoung Kim , Dirk Wulferding , Doohee Cho

Mathematical methods previously used (Phillies, J. Chem. Phys., 122 224905 (2005)) to interpret quasielastic light scattering spectroscopy (QELSS) spectra are here applied to relate diffusing wave spectroscopy (DWS) spectra to the moments…

Soft Condensed Matter · Physics 2007-05-23 George D. J. Phillies

We investigate the analogy between circumstellar disks and the Taylor-Couette flow. Using the Reynolds similarity principle, the analogy results in a number of parameter-free predictions about stability of the disks, and their turbulent…

Astrophysics · Physics 2009-11-10 F. Hersant , B. Dubrulle , J. -M. Hure

An extension of Proper Orthogonal Decomposition is applied to the wall layer of a turbulent channel flow (Re {\tau} = 590), so that empirical eigenfunctions are defined in both space and time. Due to the statistical symmetries of the flow,…