Results 11 to 20 of about 4,997 (268)
Nonlocal Conduction in a Metawire. [PDF]
Adv MaterA 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Iglesias MartÃnez JA +3 more
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Recovering differential operators with nonlocal boundary conditions [PDF]
Analysis and Mathematical Physics, 2015 Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Yurko, Vjacheslav Anatoljevich +1 more
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Nonlocal Boundary-Value Problems with Local Boundary Conditions
, 2023 We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter dependent on position in the domain, and vanishes as the boundary of the domain is approached.
Scott, James M., Du, Qiang
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Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation [PDF]
Journal of Applied and Computational Mechanics, 2018 Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method.
D.P. Zhang, Yongjun Lei, Z.B. Shen
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Effect of boundary conditions and constitutive relations on the free vibration of nonlocal beams
Results in Physics, 2020 The free vibrations of nonlocal Euler and Timoshenko beams have been studied extensively, but there still remain some problems concerning boundary conditions and constitutive relations.
Gen Li +3 more
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Difference Schemes with Nonlocal Boundary Conditions
Computational Methods in Applied Mathematics, 2001 AbstractThe paper deals with the stability, with respect to initial data, of difference schemes that approximate the heat-conduction equation with constant coefficients and nonlocal boundary conditions. Some difference schemes are considered for the one-dimensional heat-conduction equation, the energy norm is constructed, and the necessary and ...
Goolin, Alexei V. +2 more
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Diffusion with nonlocal Robin boundary conditions [PDF]
Journal of the Mathematical Society of Japan, 2018 Revision based on the comments of the referee; final ...
ARENDT, Wolfgang +2 more
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Nonlocal problems with Neumann boundary conditions [PDF]
Revista Matemática Iberoamericana, 2017 We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition, we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann ...
Serena Dipierro +2 more
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Diffusion with nonlocal boundary conditions
Journal of Functional Analysis, 2016 We consider second order differential operators $A_ $ on a bounded, Dirichlet regular set $ \subset \mathbb{R}^d$, subject to the nonlocal boundary conditions \[ u(z) = \int_ u(x)\, (z, dx)\quad \mbox{for } z \in \partial . \] Here the function $ : \partial \to \mathscr{M}^+( )$ is $ (\mathscr{M} ( ), C_b( ))$-continuous with $0\leq (z,
Arendt, Wolfgang +2 more
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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions
Boundary Value Problems, 2007 A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained.
Yuandi Wang, Hamdi Zorgati
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