Results 221 to 230 of about 275,397 (314)

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
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

A Geometric Characterization of Steady Laminar Flow

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
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 Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
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

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
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

Linear and Two‐Dimensional Infrared Spectroscopy of the Multifunctional Vibrational Probe, 3‐(4‐Azidophenyl) Propiolonitrile. Deperturbing a Fermi Triad by Isotopic Substitution

open access: yesChemPhysChem, Volume 26, Issue 6, March 15, 2025.
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

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