Results 11 to 20 of about 18,741 (266)
Solving Stochastic Nonlinear Poisson-Boltzmann Equations Using a Collocation Method Based on RBFs
Mathematics, 2023 In this paper, we present a numerical scheme based on a collocation method to solve stochastic non-linear Poisson–Boltzmann equations (PBE). This equation is a generalized version of the non-linear Poisson–Boltzmann equations arising from a form of ...
Samaneh Mokhtari +4 more
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Baryon Physics and Tight Coupling Approximation in Boltzmann Codes
Universe, 2019 We provide two derivations of the baryonic equations that can be straightforwardly implemented in existing Einstein−Boltzmann solvers. One of the derivations begins with an action principle, while the other exploits the conservation of the stress ...
Masroor C. Pookkillath +2 more
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Hybrid Lattice Boltzmann Model for Nonlinear Diffusion and Image Denoising
Mathematics, 2023 In the present paper, a novel approach for image denoising based on the numerical solution to the nonlinear diffusion equation is proposed. The Perona–Malik-type equation is solved by employing a hybrid lattice Boltzmann model with five discrete ...
Oleg Ilyin
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A Multiple-Grid Lattice Boltzmann Method for Natural Convection under Low and High Prandtl Numbers
Fluids, 2021 A multi-distribution lattice Boltzmann Bhatnagar–Gross–Krook (BGK) model with a multiple-grid lattice Boltzmann (MGLB) model is proposed to efficiently simulate natural convection over a wide range of Prandtl numbers. In this method, different grid sizes
Seyed Amin Nabavizadeh +3 more
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Absence of Hall effect due to Berry curvature in phase space
Scientific Reports, 2021 Transverse current due to Berry curvature in phase space is formulated based on the Boltzmann equations with the semiclassical equations of motion for an electron wave packet.
Takehito Yokoyama
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Entropy, 2019 In this paper, a new lattice Boltzmann model for the two-component system of coupled sine-Gordon equations is presented by using the coupled mesoscopic Boltzmann equations.
Demei Li, Huilin Lai, Chuandong Lin
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On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity [PDF]
Opuscula Mathematica, 2007 A two-component particle model of Boltzmann-Vlasov type kinetic equations in the form of special nonlinear integro-differential hydrodynamic systems on an infinite-dimensional functional manifold is discussed.
Nikolai N. Bogoliubov (Jr.) +3 more
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Turbulence through the Spyglass of Bilocal Kinetics
Entropy, 2018 In two recent papers we introduced a generalization of Boltzmann’s assumption of molecular chaos based on a criterion of maximum entropy, which allowed setting up a bilocal version of Boltzmann’s kinetic equation.
Gregor Chliamovitch, Yann Thorimbert
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On the accuracy of macroscopic equations for linearized rarefied gas flows
Advances in Aerodynamics, 2020 Many macroscopic equations are proposed to describe the rarefied gas dynamics beyond the Navier-Stokes level, either from the mesoscopic Boltzmann equation or some physical arguments, including (i) Burnett, Woods, super-Burnett, augmented Burnett ...
Lei Wu, Xiao-Jun Gu
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Basis of Local Approach in Classical Statistical Mechanics
Entropy, 2005 : An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time.
Sergey R. Sharov
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