Results 31 to 40 of about 28,710 (302)
Square function estimates for the evolutionary p-Laplace equation
, 2023 We prove novel (local) square function/Carleson measure estimates for non-negative solutions to the evolutionary p-Laplace equation in the complement of parabolic Ahlfors-David regular sets.
Kaj Nyström, Nyström, Kaj,
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Materials Theory, 2021 This study is dedicated to the determination of the surface energy and stress of nanoparticles and cavities in presence of pressure, and to the evaluation of the accuracy of the Young-Laplace equation for these systems. Procedures are proposed to extract
Laurent Pizzagalli, Marie-Laure David
doaj +1 more source
Mathematics, 2021 In the finance market, it is well known that the price change of the underlying fractal transmission system can be modeled with the Black-Scholes equation.
Sivaporn Ampun, Panumart Sawangtong
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A Laplace Ladder of Discrete Laplace Equations
Theoretical and Mathematical Physics, 2002 The notion of a Laplace ladder for a discrete analogue of the Laplace equation is presented. The adjoint of the discrete Moutard equation and a discrete counterpart of the nonlinear form of Goursat equation are introduced.
openaire +2 more sources
On the applicability of Young-Laplace equation for nanoscale liquid drops
, 2016 Debates continue on the applicability of the Young-Laplace equation for droplets, vapor bubbles and gas bubbles in nanoscale. It is more meaningful to find the error range of the Young-Laplace equation in nanoscale instead of making the judgement of its ...
Zhu, RZ (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China. +7 more
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Stretching the Printability Metric in Direct‐Ink Writing with Highly Extensible Yield‐Stress Fluids
Advanced Functional Materials, EarlyView.This study introduces “drawability” as a new metric for assessing printability in direct‐ink writing, focusing on gap‐spanning performance and speed robustness. By designing yield‐stress fluids with high extensibility, we demonstrate that extensional strain‐to‐break significantly enhances printability.
Chaimongkol Saengow +9 more
wiley +1 more source
GPU-Accelerated Laplace Equation Model Development Based on CUDA Fortran
, 2021 In this study, a CUDA Fortran-based GPU-accelerated Laplace equation model was developed and applied to several cases. The Laplace equation is one of the equations that can physically analyze the groundwater flows, and is an equation that can provide ...
Boram Kim +2 more
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Advanced Functional Materials, EarlyView.This work developed a smart Janus wood membrane integrating asymmetric wettability with built‐in electrical sensing for oil‐water separation. The membrane achieved > 99.5% separation efficiency and high flux by leveraging wood's natural anisotropic pore structure.
Kaiwen Chen +10 more
wiley +1 more source
Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]
, 2012 This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L +7 more
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Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion
Advanced Materials, EarlyView.This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang +9 more
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