Results 31 to 40 of about 6,786 (289)
Universal Proximity Effect in Target Search Kinetics in the Few-Encounter Limit
Physical Review X, 2016 When does a diffusing particle reach its target for the first time? This first-passage time (FPT) problem is central to the kinetics of molecular reactions in chemistry and molecular biology.
Aljaž Godec, Ralf Metzler
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Long-Time Asymptotic Behavior for the Discrete Defocusing mKdV Equation [PDF]
Journal of Nonlinear Science, 2019 45 ...
Meisen Chen, Engui Fan
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations [PDF]
, 2016 In this chapter we review the theory of modulation equations or Whitham equations for the travelling wave solution of KdV. We then apply the Whitham modulation equations to describe the long-time asymptotics and small dispersion asymptotics of the KdV ...
Tamara Grava, Grava, Tamara
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Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley +1 more source
Cell Division And The Pantograph Equation
ESAIM: Proceedings and Surveys, 2018 Simple models for size structured cell populations undergoing growth and division produce a class of functional ordinary differential equations, called pantograph equations, that describe the long time asymptotics of the cell number density.
van Brunt B., Zaidi A. A., Lynch T.
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Long-Time Asymptotics of the Sliced-Wasserstein Flow
SIAM Journal on Imaging SciencesThe sliced-Wasserstein flow is an evolution equation where a probability density evolves in time, advected by a velocity field computed as the average among directions in the unit sphere of the optimal transport displacements from its 1D projections to the projections of a fixed target measure.
Giacomo Cozzi, Filippo Santambrogio
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Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
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Asymptotics of liquid velocity to the problem of fluid outflow from a rectangular duct
AIP AdvancesWe have constructed and analyzed the first-order asymptotics of liquid velocity for the two-dimensional steady problem of energy-conserving fluid outflow from a rectangular duct. These asymptotics are constructed using the first-order asymptotics for the
Vladimir V. Ostapenko
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Height fluctuations in homoepitaxial thin film growth: A numerical study
Physical Review Research, 2020 We report on the investigation of height distributions (HDs) and spatial covariances of two-dimensional surfaces obtained from extensive numerical simulations of the celebrated Clarke-Vvedensky (CV) model for homoepitaxial thin film growth. In this model,
I. S. S. Carrasco, T. J. Oliveira
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