On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]
Journal of Differential Equations, 2021 The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have been introduced to model interactions of the materials with the boundary more precisely.
Knopf P., Signori A.
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Sturm–Liouville problem with two point nonlocal second type boundary condition
Lietuvos Matematikos Rinkinys, 2005 The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
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A nonlocal sinusoidal plate model for micro/nanoscale plates [PDF]
, 2014 A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory.
Thai, Huu-Tai +3 more
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A Nonlocal Operator Breaking the Keller–Osserman Condition [PDF]
Advanced Nonlinear Studies, 2017 Abstract This work is concerned about the existence of solutions to the nonlocal semilinear problem {
Ferreira, Raúl +1 more
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Ritz Method Application to Bending, Buckling and Vibration Analyses of Timoshenko Beams via Nonlocal Elasticity [PDF]
Journal of Applied and Computational Mechanics, 2018 Bending, buckling and vibration behaviors of nonlocal Timoshenko beams are investigated in this research using a variational approach. At first, the governing equations of the nonlocal Timoshenko beams are obtained, and then the weak form of these ...
Seyyed Amir Mahdi Ghannadpour
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Vietnam Journal of Mechanics, 2023 This paper analyses free vibrations of framed nanostructures made of Functionally Graded Material (FGM) based on the Nonlocal Elastic Theory (NET) and the Dynamic Stiffness Method (DSM).
Duong The Hung +3 more
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Electronic Journal of Differential Equations, 2020 In this article, we consider a nonlocal problem for hyperbolic equation with integral conditions and show their close connection with the notion of strongly regular boundary conditions.
Ludmila S. Pulkina
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A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates [PDF]
, 2003 We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Winter, M +3 more
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Nullity of the second order discrete problem with nonlocal multipoint boundary conditions
Lietuvos Matematikos Rinkinys, 2015 In this paper, we investigate several second order discrete problems with non-local multipoint boundary conditions and present obtained results about their nullity.
Gailė Paukštaitė, Artūras Štikonas
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A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams [PDF]
, 2012 This paper presents a nonlocal sinusoidal shear deformation beam theory for the bending, buckling, and vibration of nanobeams. The present model is capable of capturing both small scale effect and transverse shear deformation effects of nanobeams, and ...
Thai, Huu-Tai, Vo, Thuc
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