On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
Mathematical Modelling and Analysis, 2007 Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
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Young measures in a nonlocal phase transition problem [PDF]
, 1997 A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M, Ren, X
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Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition [PDF]
Abstract and Applied Analysis, 2012 This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition.
Zhong Bo Fang +2 more
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Experiments on Nonlocal Fluid-Flow Metamaterials. [PDF]
Adv Sci (Weinh)A nonlocal fluid‐flow metamaterial composed of standard microfluidic tubes and connectors is designed. Hence, the current of the system at one position depends on the gradient of fluid flow at many other positions, leading to unusual alternating backward and forward laminar flows of water.
Wang K, Chen Y, Wegener M.
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Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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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 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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On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]
, 2021 The Cahn-Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. Various dynamic boundary conditions have already been introduced in the literature to model interactions of the materials with the ...
Knopf, Patrik, Signori, Andrea
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International Journal of Antennas and Propagation, 2017 Diffraction nonlocal boundary condition (BC) is one kind of the transparent boundary condition which is used in the finite-difference (FD) parabolic equation (PE).
Ruidong Wang +3 more
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Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility [PDF]
, 2011 We study a diffusion model of phase field type, consisting of a system of two partial differential equations of second order for the particle densities and the viscosity variable, coupled by a nonlocal drift term.
Farshbaf-Shaker, Hassan
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