Results 101 to 110 of about 165,958,490 (290)
Well-posedness for the continuity equation for vector fields with suitable modulus of continuity [PDF]
, 2019 We prove well-posedness of linear scalar conservation laws using only assumptions on the growth and the modulus of continuity of the velocity field, but not on its divergence. As an application, we obtain uniqueness of solutions in the atomic Hardy space,
Orobitg i Huguet, Joan +3 more
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On The Integral Modulus of Continuity of Fourier Series III
Communications Faculty Of Science University of Ankara, 1974 We obtain an estimate for the integral modulus of continuity of orderk of Fourier series with coefficients satisfying:a v →0 and Σ v=1 ∞ v 2|Δ2(a v /v)|
openaire +4 more sources
Advanced Functional Materials, EarlyView.ABSTRACT Chitosan, a polysaccharide upcycled from biowaste, has long promised sustainable, biocompatible, and antimicrobial films and devices, an appeal reinforced by its recent regulatory recognition, with several chitosan‐based antibacterial dressings gaining clearance through the Food and Drug Administration's 510(k) pathway.
Jacopo Nicoletti +16 more
wiley +1 more source
Universal frequency-preserving KAM persistence via modulus of continuity
, 2023 In this paper, we study the persistence and remaining regularity of KAM invariant torus under sufficiently small perturbations of a Hamiltonian function together with its derivatives, in sense of finite smoothness with modulus of continuity, as a ...
Tong, Zhicheng, Li, Yong
core
A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is satisfied at the initial condition, then $F$ determines a locally unique ...
José Ángel Cid, F. Adrián Tojo
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Advanced Functional Materials, EarlyView.A swelling‐programmed micropatterned hydrogel guides adherent cells through a controlled transition from cell–matrix anchoring to cadherin‐mediated cell–cell compaction, enabling rapid assembly of high‐viability spheroids with defined size and morphology.
Han Gyeol Nam +8 more
wiley +1 more source
Approximation by the new modification of Bernstein-Stancu operators
Cumhuriyet Science Journal, 2021 The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators.
Melek Sofyalıoğlu, Kadir Kanat
doaj
On the modulus of continuity of analytic functions
Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985 Let G be an open set in the plane such that \(\partial G\), the boundary of G, contains at least two finite points. Let f be analytic in G and continuous in the closure \(\bar G\) of G. Let \(\mu\) (t) be continuous, nondecreasing and non-negative for \(t\geq 0\) and such that log \(\mu\) (exp t) is a concave function of t for real t. Further we assume
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Advances in Sustainable and Wearable Textile Based Soft Robotics
Advanced Functional Materials, EarlyView.This Review examines advances in wearable textile‐based soft robotics, focusing on sustainable materials, integrated sensing, and scalable actuation. It discusses manufacturing and system integration across healthcare, assistive robotics, prosthetics, and human–machine interfaces, and highlights key challenges in circular design, including life‐cycle ...
Zahir Abbas +6 more
wiley +1 more source
Structure‐Guided Dynamical Mechanics in Bioinspired Double Twisted Laminated Thin Films
Advanced Functional Materials, EarlyView.This work explores a dynamic mechanistic study of crack propagation and puncture testing via real‐time monitoring of crack initiation, propagation, and termination through nature‐inspired single and double twisted architectures fabricated from cellulose nanocrystals.
Justin Brackenridge +4 more
wiley +1 more source