Results 11 to 20 of about 3,735 (290)
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 Martínez JA +3 more
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Semiclassical Approach to the Nonlocal Kinetic Model of Metal Vapor Active Media
Mathematics, 2021 A semiclassical approach based on the WKB–Maslov method is developed for the kinetic ionization equation in dense plasma with approximations characteristic of metal vapor active media excited by a contracted discharge.
Alexander V. Shapovalov +1 more
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Dynamics of stochastic nonlocal partial differential equations
The European Physical Journal Plus, 2021 This paper is concerned with the asymptotic behavior of solutions to nonlocal stochastic partial differential equations with multiplicative and additive noise driven by a standard Brownian motion, respectively. First of all, the stochastic nonlocal differential equations are transformed into their associated conjugated random differential equations, we
Jiaohui Xu, Tomás Caraballo
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AIMS Mathematics, 2022 The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied.
Ahmed M.A. El-Sayed +2 more
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Longitudinal Vibration of Nanobeams by Two-Phase Local/Nonlocal Elasticity, Rayleigh Theory, and Generalized Differential Quadrature Method [PDF]
Mechanics of Advanced Composite Structures, 2023 To solve a differential equation of motion via more reliable procedures, it is essential to realize their efficiency. Whether Rayleigh's theory can be a compatible platform with two-phase local/nonlocal elasticity to render more reliable results compared
Reza Nazemnezhad, Roozbeh Ashrafian
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Nonlocal Fractional Differential Equations and Applications [PDF]
Complex Analysis and Operator Theory, 2020 Boundary value problems for nonlocal fractional elliptic equations with parameter in Banach spaces are studied. Uniform $L_p$-separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives.
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On a nonlocal differential equation describing roots of polynomials under differentiation [PDF]
Communications in Mathematical Sciences, 2020 In this work we study the nonlocal transport equation derived recently by Steinerberger when studying how the distribution of roots of a polynomial behaves under iterated differentation of the function. In particular, we study the well-posedness of the equation, establish some qualitative properties of the solution and give conditions ensuring the ...
Rafael Granero-Belinch n +1 more
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On a class of nonlinear nonlocal fractional differential equations [PDF]
Carpathian Journal of Mathematics, 2021 We investigate the existence of extremal solutions for a class of fractional differential equations in the area of fluid dynamics. By establishing a new comparison theorem and applying the classical monotone iterative approach, we establish sufficient conditions to ensure the existence of the extremal solutions and construct twin convergent monotone ...
Hossein Fazli +4 more
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Non-real eigenvalues of nonlocal indefinite Sturm–Liouville problems
Boundary Value Problems, 2019 The present paper deals with non-real eigenvalues of regular nonlocal indefinite Sturm–Liouville problems. The existence of non-real eigenvalues of indefinite Sturm–Liouville differential equation with nonlocal potential K ( x , t ) $K(x,t)$ associated ...
Fu Sun +3 more
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Physics Letters B, 2019 An exact solution for the scattering wavefunction from a nonlocal potential in the presence of Coulomb interaction is presented. The approach is based on the construction of a Coulomb Green's function in coordinate space whose associated kernel involves ...
H.F. Arellano, G. Blanchon
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