Results 51 to 60 of about 249,936 (334)

A Class of Quasistatic Contact Problems for Viscoelastic Materials with Nonlocal Coulomb Friction and Time-Delay

open access: yesMathematical Modelling and Analysis, 2014
In this paper, a mathematical model which describes the explicit time dependent quasistatic frictional contact problems is introduced and studied. The material behavior is described with a nonlinear viscoelastic constitutive law with time-delay and the ...
Si-sheng Yao, Nan-jing Huang
doaj   +1 more source

Consensus Formation and Change are Enhanced by Neutrality

open access: yesAdvanced Science, EarlyView.
Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag   +3 more
wiley   +1 more source

On determinism and well-posedness in multiple time dimensions

open access: yes, 2008
We study the initial value problem for the wave equation and the ultrahyperbolic equation for data posed on initial surface of mixed signature (both spacelike and timelike).
Craig, Walter, Weinstein, Steven
core   +4 more sources

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain

open access: yesAdvanced Science, EarlyView.
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio   +3 more
wiley   +1 more source

Existence Results for Fractional Hahn Difference and Fractional Hahn Integral Boundary Value Problems

open access: yesDiscrete Dynamics in Nature and Society, 2017
The existence and uniqueness results of two fractional Hahn difference boundary value problems are studied. The first problem is a Riemann-Liouville fractional Hahn difference boundary value problem for fractional Hahn integrodifference equations.
Nichaphat Patanarapeelert   +1 more
doaj   +1 more source

A Perspective on Interactive Theorem Provers in Physics

open access: yesAdvanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Sub‐Unit‐Cell Logic Governs Transport in TPMS Architectures

open access: yesAdvanced Science, EarlyView.
ABSTRACT Next‐generation energy, thermal, and chemical systems require architectures capable of highly efficient transport across multiple length scales. Triply periodic minimal surfaces (TPMS), first conceptualized in 1865, offer inherently scalable geometries with exceptional transport potential, yet mechanistic links between topology and performance
Haozhang Zhong   +16 more
wiley   +1 more source

A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions

open access: yesJournal of Mathematics, 2022
In this research paper, we investigate the existence, uniqueness, and Ulam–Hyers stability of hybrid sequential fractional differential equations with multiple fractional derivatives of ψ-Caputo with different orders. Using an advantageous generalization
Fouad Fredj   +4 more
doaj   +1 more source

On the uniqueness theorem of Holmgren [PDF]

open access: yes, 2014
We rereview the classical Cauchy-Kovalevskaya theorem and the related uniqueness theorem of Holmgren, in the simple setting of powers of the Laplacian and a smooth curve segment in the plane.
Hedenmalm, Haakan
core  

Bioinspired Adaptive Leg‐Claw Enables Robust Perching and Grasping for UAVs

open access: yesAdvanced Science, EarlyView.
Inspired by owl limb morphology and bat roosting behavior, this study presents a bioinspired adaptive leg‐claw mechanism that enables UAVs to perform robust and versatile perching and grasping. The design integrates a four‐link tibial structure, tension‐driven deformable feet, and active control, enabling stable perching on various branches and ...
Tianyu Cheng   +6 more
wiley   +1 more source

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