Results 81 to 90 of about 484,592 (357)
Diffusion with nonlocal Dirichlet boundary conditions on domains [PDF]
Studia Mathematica, 2020 We consider a second order differential operator $\mathscr{A}$ on an (typically unbounded) open and Dirichlet regular set $ \subset \mathbb{R}^d$ and subject to nonlocal Dirichlet boundary conditions of the form \[ u(z) = \int_ u(x) (z, dx) \quad \mbox{ for } z\in \partial .
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Advanced Materials, EarlyView.Synthesis of topological semimetal TaAs2 nanowires in situ encapsulated with a thin SiO2 shell unravel a richness of intertwined topological phases manifested by their magnetotransport features: A near‐room‐temperature metal‐to‐insulator transition, strong expressions of topologically nontrivial surface transport, giant magnetoresistance with direction‐
Anand Roy +9 more
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Advanced Materials, EarlyView.Compact, robust, and ultralow‐loss on‐chip photonic devices are essential for densely integrated photonic chips. Here, the underlying radiation mechanism in topological valley edge states is unveiled and a new methodology of interface topology driven bandgap and wavevector engineering is proposed to thoroughly suppress their radiation losses, thereby ...
Zhonglei Shen +6 more
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Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions
, 2018 We present explicit formulas for solutions to nonhomogeneous boundary value problems involving any positive power of the Laplacian in the half-space. For non-integer powers the operator becomes nonlocal and this requires a suitable extension of Dirichlet-
Abatangelo, Nicola +4 more
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
Journal of Mathematical Analysis and Applications, 1995 AbstractIn this paper we investigate the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. A distinctive feature of this type of boundary and initial conditions is that the parabolic equation may possess multiple solutions even if the reaction ...
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Advanced Photonics Research, EarlyView.This work presents a systematic review of atmospheric turbulence fundamentals, including theoretical formulations and adaptive optics‐based mitigation strategies. This includes an in‐depth examination of the devices, theories, and methodologies associated with traditional correction approaches.
Qinghui Liu +5 more
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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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Transparent-Influx Boundary Conditions for FEM Based Modelling of 2D Helmholtz Problems in Optics [PDF]
, 2004 A numerical method for the analysis of the 2D Helmholtz equation is presented, which incorporates Transparent-Influx Boundary Conditions into a variational formulation of the Helmholtz problem.
Groesen, E. van +2 more
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Advanced Theory and Simulations, EarlyView.This work proposes a surface elasticity‐based nonlocal model for analyzing the vibrations of bi‐directionally graded tapered nanobeam. The results demonstrate that, in absence of surface effect, the increasing value of tapered parameter leads to stiffness‐hardening of the nanobeam. However, the consideration of surface effect changes this trend and the
Chinika Dangi, Susmita Naskar
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Abstract and Applied Analysis, 2012 The second order of accuracy absolutely stable difference schemes are presented for the nonlocal boundary value hyperbolic problem for the differential equations in a Hilbert space H with the self-adjoint positive definite operator A.
Allaberen Ashyralyev, Ozgur Yildirim
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