Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Optimization of femtosecond laser spot coverage: analytical modeling of spatial frequencies, anisotropy, and saturation boundaries. [PDF]
Mosquera SA.
europepmc +1 more source
A Geometric Characterization of Steady Laminar Flow
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
Stochastic Dynamics of Nonlinear Piezoelectric Vibration Energy Harvesting System with Inelastic Impact. [PDF]
Liu L, Tian L, Su M, Yue H.
europepmc +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
A dynamically consistent discrete-time model for monkeypox transmission with implications for quarantine policies. [PDF]
Türk K, Gümüş M.
europepmc +1 more source
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Numerical Analysis of BIMs for Stochastic SIR and SIS Models with Variable Contact Diffusion Rates. [PDF]
Schurz H, Tosun K.
europepmc +1 more source
Linear infrared spectroscopy combined with isotope labeling and density functional theory unravels the origin of a Fermi triad in a multifunctional vibrational chromophore. Ultrafast 2DIR‐spectroscopy reports directly on the dynamics and the intramolecular vibrational energy flow pathways in the isotopically deperturbed system. Abstract Infrared probes
Claudia Gräve +4 more
wiley +1 more source
Moments of derivatives of quadratic Dirichlet <i>L</i>-functions with prime conductor. [PDF]
Best CG.
europepmc +1 more source

