Monomer diffusion rates in photopolymer material. Part I. Low spatial frequency holographic gratings [PDF]
, 2011 For photopolymers, knowing the rate of diffusion of the active monomer is important when modeling the material evolution during recording in order to understand and optimize their performance.
Close, Ciara E. +8 more
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Nonlocal effect on boundary conditions of cantilever nanobeam [PDF]
, 2020 International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 23-28, 2019 -- Rhodes, GREECEFree vibration of cantilever nanobeam has been investigated with the help of Eringen's Nonlocal Elasticity Theory.
Mustafa Arda +3 more
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Mathematics, 2021 It is well known that Stochastic equations had many useful applications in describing numerous events and problems of real world, and the nonlocal integral condition is important in physics, finance and engineering.
Ahmed M. A. El-Sayed, Hoda A. Fouad
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A PARABOLIC SYSTEM WITH NONLOCAL BOUNDARY CONDITIONS AND NONLOCAL SOURCES
Communications of the Korean Mathematical Society, 2012 In this work, the authors study the blow-up properties of so- lutions to a parabolic system with nonlocal boundary conditions and non- local sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and precise blow-up rate estimates are also obtained. v(x;t) = R k2(x;y)v(y;t)dy; x2 @; t >0; u(x;0) = u0(x);
Wenjie Gao, Yuzhu Han
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Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions
Journal of Ocean Engineering and Science, 2018 In this paper, we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary conditions.
N.A. Al-Zaid, H.O. Bakodah
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Conditioning and error analysis of nonlocal operators with local boundary conditions
Journal of Computational and Applied Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burak Aksoylu, Adem Kaya
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Green functions for stationary problems with nonlocal boundary conditions
Lietuvos Matematikos Rinkinys, 2008 In this paper the Green functions for various stationary problems with nonlocal boundary conditions are investigated.We compare Green functions properties for classical boundary conditions with properties of Green functions for problems with nonlocal ...
Svetlana Roman, Artūras Štikonas
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A priori error estimates for energy-based quasicontinuum approximations of a periodic chain [PDF]
, 2011 We derive a priori error estimates for three prototypical energy-based quasicontinuum (QC) methods: the local QC method, the energy-based QC method, and the quasi-nonlocal QC method.
Christoph Ortner +3 more
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Integrodifferential evolution systems with nonlocal initial conditions [PDF]
, 2020 The paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the nonlinear terms of the equations to behave independently as much as possible, we use a vector approach based on ...
PRECUP, Radu, KOUMLA, Sylvain
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Static analysis of thin-walled beams using two-phase local-nonlocal integral model
Archives of Mechanics, 2023 A mathematical model is developed for static analysis of small-scale thinwalled beams having arbitrary cross sections. Constitutive relations of the thin-walled beams are defined upon the two-phase local-nonlocal mixture model with integral formulation ...
M.G. Günay
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