Mathematics - geometric topology

Results 141 to 150 of about 4,718 (211)

A Geometric Characterization of Steady Laminar Flow

Communications 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

VARIANT: Web server for decoding and analyzing viral mutations at genome and protein levels. [PDF]

Biophys J
Wang R +5 more
europepmc +1 more source

Implementation of the E×B and Grad‐B Drift in the EMC3 Code and Verification Using the Method of Manufactured Solutions

Contributions to Plasma Physics, EarlyView.
ABSTRACT Effective management of particle and power exhaust is essential for fusion reactor operation, requiring accurate 3D modeling of divertor physics. The EMC3 code is a well‐established Monte Carlo tool for plasma transport in stellarator edge regions, but until now lacked E×B$$ E\times B $$ and diamagnetic drifts.
Ruben De Wolf +5 more
wiley +1 more source

Energy localization and spatiotemporal pattern evolution mechanism of spatial thin-film structures under parametric excitation. [PDF]

PLoS One
Li T, Tong X, Liu X, Zhou D.
europepmc +1 more source

Research progress and current status of dynamic wave propagation characteristics in rock mass: A review

Deep Underground Science and Engineering, EarlyView.
This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu +8 more
wiley +1 more source

Network geometry, topology, and spectral analysis in global stock markets: Insights from using the Ricci curvature, Euler characteristic, and random matrix theory. [PDF]

PLoS One
Domínguez-Monterroza A +2 more
europepmc +1 more source

Topological Natural Selection: A Paradigm Shift from Mathematical Necessity to Geometric Fitness in G₂ Manifolds Subtitle: Reinterpreting the Fine-Structure Constant and the 7/78 Dimension Ratio as Optimal Survivors

Abstract We propose a fundamental paradigm shift in mathematical physics: Topological Natural Selection (TNS). Departing from the traditional doctrine of strict mathematical necessity, TNS posits that fundamental physical parameters—such as the fine-structure constant α and the 7/78 dimensional ratio in the E₆ → G₂ cascade—are ...
openaire +1 more source

CO2 Conversion Into Energy Rich Fuels Over Nascent COF Decorated‐Lead Free Halide Perovskites Hybrid Nano Catalysts: Experimental and Computational Investigation

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
A panoramic scheme signifies the CO2 conversion into energy‐rich fuels over nascent COF‐decorated lead‐free halide perovskite hybrid nano‐catalysts. Even though lead‐containing halide perovskites have been deemed emerging materials. However, the presence of toxic and carcinogenic lead (Pb) metal, small surface area, low charge separation, and a high ...
Iltaf Khan +4 more
wiley +1 more source

III_005 Mindfulness Topology (I): The Mathematical Geometrization of Mental Flow, Markov Blanket Reconfiguration, and Substrate-Independent Subconscious De-noising / 正念拓撲學 (一):心流狀態的數學幾何化、馬可夫毯重構與基質獨立的潛意識去噪協議

This paper presents the foundational architecture of Mindfulness Topology (I), establishing a mathematical geometrization framework for mental flow, cognitive dynamics, and active inference. By formalizing the cognitive transition into deep mindfulness using differential geometry and non-linear dynamics, we examine how the Markov blanket—a ...
openaire +3 more sources

Improving the accuracy of distributed cooperative positioning at urban intersections based on mathematical analysis and robust filtering. [PDF]

PLoS One
Liu D, Zeng Z, Li T.
europepmc +1 more source