Results 31 to 40 of about 257,472 (285)

Isogeometric Resolution of the Brinkman-Forchheimer-Darcy [PDF]

Journal of Applied and Computational Mechanics
In this paper, we employ the finite element method based on non-uniform rational B-splines function approximation to solve the nonlinear Brinkman-Forcheimer-Darcy equation in a simply connected and bounded Lipschitz domain Ω.
Ouadie Koubaiti, Lahcen El Ouadefli, Ahmed Elkhalfi, Abdeslam El Akkad, Sorin Vlase, Marin Marin   +5 more
doaj   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

Nonsplit conics in the reduction of an arithmetic curve

, 2021
For an algebraic function field $F/K$ and a discrete valuation $v$ of $K$ with perfect residue field $k$, we bound the number of discrete valuations on $F$ extending $v$ whose residue fields are algebraic function fields of genus zero over $k$ but not ...
Becher, Karim Johannes, Grimm, David
core  

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

Advanced Materials, EarlyView.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen, Dongsheng Song, Filipp N. Rybakov, Nikolai S. Kiselev, Long Li, Wen Shi, Rui Wu, Xuewen Fu, Olle Eriksson, Stefan Blügel, Rafal E. Dunin‐Borkowski, Haifeng Du, Fengshan Zheng   +12 more
wiley   +1 more source

A Fourier transform differentiator operator

Results in Physics
By utilizing the Fourier transform, we present a practical method for evaluating a function of a derivative applied to any other arbitrary function of a single complex variable.
Blanca L. Moreno-Ley, Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, Héctor M. Moya-Cessa   +3 more
doaj   +1 more source

Field Form of the Dynamics of Classical Many- and Few-Body Systems: From Microscopic Dynamics to Kinetics, Thermodynamics and Synergetics

Quantum Reports, 2022
A method is proposed for describing the dynamics of systems of interacting particles in terms of an auxiliary field, which in the static mode is equivalent to given interatomic potentials, and in the dynamic mode is a classical relativistic composite ...
Anatoly Yu. Zakharov
doaj   +1 more source

Ultrafast Photocatalytic Wettability Switching in Substrate‐Interface Tailored Titanium Dioxide Thin Films

Advanced Materials Interfaces, EarlyView.
This study demonstrates ultrafast photocatalytic wettability switching in TiO2 thin films by tailoring substrate doping and interface oxides. Enhanced switching rates and hemiwicking effects are achieved through optimized material stacks and nanostructuring.
Rucha A. Deshpande, Jesper Navne, David C. B. Nielsen, Mathias Adelmark, Radu Malureanu, Ole Hansen, Rafael Taboryski   +6 more
wiley   +1 more source

An Explicit Form of Signum Function

Mathematics
In this paper, the author derives an analytical exact form of signum function, which evidently constitutes a fundamental concept of Communication Systems and Control Theory along with digital control systems and is also involved in many other fields of ...
John Venetis
doaj   +1 more source

Stress‐Normalized Sensitivity as a Comparative Benchmark for Intrinsically Piezoresistive Nanocomposite Materials in Wearable Electronics

Advanced Materials Technologies, EarlyView.
A stress‐normalised sensitivity metric (S = G/Y) is introduced as a materials‐level benchmark for intrinsically piezoresistive nanocomposites. By decoupling electromechanical response (G) from stiffness (Y), the framework enables direct comparison across diverse systems and clarifies design trade‐offs for wearable sensors.
Conor S. Boland
wiley   +1 more source

Notes on Number Theory

Mathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev, Slavi Georgiev, Venelin Todorov   +2 more
doaj   +1 more source