Results 51 to 60 of about 2,989 (204)
On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth
Advances in Nonlinear AnalysisIn this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
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Nonlinear Refractive Index in Rectangular Graphene Quantum Dots
Applied Sciences, 2019 Alongside its other favorable properties, the large refraction nonlinearity of graphene-related material makes it ideal for use in optoelectronics applications.
Yonggang Qin, Xiaobo Feng, Yu Liu
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Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains
Advances in Mathematical Physics, 2020 We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2.
Yudier Peña Pérez +3 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Parametric Analysis of Spiking Neurons in 16 nm Fin Field‐Effect Transistor Technology
Advanced Intelligent Discovery, EarlyView.Energy efficient computing has driven a shift toward brain‐inspired neuromorphic hardware. This study explores the design of three distinct silicon neuron topologies implemented in 16 nm fin field‐Effect transistor technology. While the Axon‐Hillock design achieves gigahertz throughput, its functional fragility persists. The Morris–Lecar model captures
Logan Larsh +3 more
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Advanced Intelligent Systems, EarlyView.A tandem neural network directly solves the multivalued inverse problem of extracting semiconductor parameters from transistor measurements. Trained on only 1000 simulations, the network infers six material parameters (e.g., defect states, carrier concentration, mobility) in under 1 ms, demonstrating a broadly applicable framework for semiconductor ...
Masatoshi Kimura +8 more
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Periodic solutions for nonlinear Dirac equation with superquadratic nonlinearity
Electronic Journal of Differential Equations, 2016 This article concerns the periodic solutions for a nonlinear Dirac equation. Under suitable assumptions on the nonlinearity, we show the existence of nontrivial and ground state solutions.
Jian Zhang +3 more
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Nonlinear equations in private derivatives, related to the operator of Dirak
Наука. Инновации. Технологии, 2022 Theory of integrable nonlinear equations possessing soliton solutions of a new type - tipper solitons. The operator examines the design proposed by O.I. Bogoyavlensky, and having attractors in the phase space.
Olga Sergeevna Yanovskaya +1 more
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The Canadian Journal of Chemical Engineering, EarlyView.Abstract Accurately simulating multiphase flows at low capillary numbers remains challenging due to spurious currents and interface discretization errors. We present a systematic comparison of four volume‐of‐fluid (VOF) solvers within the OpenFOAM framework for pressure‐driven Poiseuille–Bingham flow over grooved surfaces: interFoam with classical ...
Amir Joulaei +2 more
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Local equilibration of fermions and bosons
Results in Physics, 2019 Local kinetic equilibration is a prerequisite for hydrodynamics to be valid. Here it is described through a nonlinear diffusion equation for finite systems of fermions and bosons.
Georg Wolschin
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