Results 91 to 100 of about 7,355 (250)
Emergence of boundary conditions in the heat equation
The Dirichlet and Neumann conditions are commonly employed as boundary conditions for the heat equation, yet their legitimacy is debatable in certain scenarios.
Kim, Ho-Youn +3 more
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Heat content asymptotics with imhomogenous Neumann and Dirichlet boundary conditions
, 2001 Let M be a compact manifold with smooth boundary. We establish the existence of an asymptotic expansion for the heat content asymptotics of M with inhomogeneous Neumann and Dirichlet boundary conditions.
van den Berg, M, Gilkey, PB
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Advances and Perspectives in Graphene‐Based Quantum Dots Enabled Neuromorphic Devices
Advanced Science, EarlyView.Graphene‐based QDs are zero‐dimensional carbon nanomaterials with pronounced quantum confinement and tunable electronic structures. Herein, we summarize their synthesis strategies and functionalization methods, and highlight their functional roles and operating mechanisms in devices, as well as recent advances in neuromorphic electronics. We anticipate
Yulin Zhen +9 more
wiley +1 more source
Dynamics of a diffusive delayed competition and cooperation system
Open Mathematics, 2020 In this manuscript, we first consider the diffusive competition and cooperation system subject to Neumann boundary conditions without delay terms and get the conclusion that the unique positive constant equilibrium is locally asymptotically stable. Then,
Wei Zhangzhi, Zhang Xin
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Advanced Science, EarlyView.A nano‐plasma device enables watt‐level on‐chip THz generation through picosecond switching triggered by secondary electron emission avalanche. An ultra‐dense electron sheet initiates nano‐plasma formation within a ∼100 nm gap, driving rapid energy release into an integrated resonator.
Guangyu Sun +4 more
wiley +1 more source
Stabilisation of linear waves with inhomogeneous Neumann boundary conditions
International Journal of ControlWe study linear damped and viscoelastic wave equations evolving on a bounded domain. For both models, we assume that waves are subject to an inhomogeneous Neumann boundary condition on a portion of the domain's boundary. The analysis of these models presents additional interesting features and challenges compared to their homogeneous counterparts.
Türker Özsari, Idem Susuzlu
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Advanced Science, EarlyView.WS2‐based in‐memory sensing reservoir computing integrates sensing, memory, and computation in one compact device. It achieves ∼94% N‐MNIST, ∼93% eye motion perception, and ∼89% speech recognition with ultra‐low energy (∼25.5 fJ/spike). The system shows stability at 95% humidity, endurance over 1.5M cycles, and supports synaptic plasticity, enabling ...
Dayanand Kumar +9 more
wiley +1 more source
Repulsive Casimir force from fractional Neumann boundary conditions
, 2009 This Letter studies the finite temperature Casimir force acting on a rectangular piston associated with a massless fractional Klein–Gordon field at finite temperature.
Lim, S.C., Teo, L.P., S.C. Lim, L.P. Teo
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A singular nonlinear boundary value problem with Neumann conditions [PDF]
Opuscula Mathematica, 2005 We study the existence of solutions for the equations \(x^{\prime\prime}\pm g(t,x)=h(t)\), \(t\in (0,1)\) with Neumann boundary conditions, where \(g:[0,1] \times (0,+\infty) \to [0,+\infty)\) and \(h:[0,1] \to \mathbb{R}\) are continuous and \(g(t,\cdot)
Julian Janus
doaj
Eigenvalues of the Laplacian with Neumann boundary conditions [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1985 AbstractVarious grometrical properties of a domain may be elicited from the asymptotic expansion of a spectral function of the Laplacian operator for that region with apporpriate boundary conditions. Explicit calculations, using analytical formulae for the eigenvalues, are performed for the cases fo Neumann and mixed boundary conditions, extending ...
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