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The Relativistic Boltzmann Equation and Two Times [PDF]

Entropy, 2020
We discuss a covariant relativistic Boltzmann equation which describes the evolution of a system of particles in spacetime evolving with a universal invariant parameter τ . The observed time t of Einstein and Maxwell, in the presence of interaction,
L. P. Horwitz
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Probability Turns Material: The Boltzmann Equation [PDF]

Entropy
We review, under a modern light, the conditions that render the Boltzmann equation applicable. These are conditions that permit probability to behave like mass, thereby possessing clear and concrete content, whereas generally, this is not the case ...
Lamberto Rondoni, Vincenzo Di Florio
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Global solvability of a nonlinear Boltzmann equation [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, based on the splitting method scheme, the existence and uniqueness theorem on the whole time interval t ∈ [0 ,T ) ,T ≤∞ for the full nonlinear Boltzmann equation in the nonequilibrium case is proved where the intermolecular interactions ...
A.Sh. Akysh (Akishev)
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Particle production from oscillating scalar field and consistency of Boltzmann equation

Journal of High Energy Physics, 2021
Boltzmann equation plays important roles in particle cosmology in studying the evolution of distribution functions (also called as occupation numbers) of various particles.
Takeo Moroi, Wen Yin
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Unlocking the Key to Accelerating Convergence in the Discrete Velocity Method for Flows in the Near Continuous/Continuous Flow Regimes

Entropy, 2023
How to improve the computational efficiency of flow field simulations around irregular objects in near-continuum and continuum flow regimes has always been a challenge in the aerospace re-entry process.
Linchang Han, Liming Yang, Zhihui Li, Jie Wu, Yinjie Du, Xiang Shen   +5 more
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Lattice Boltzmann Method for the Generalized Black-Scholes Equation

Advances in Mathematical Physics, 2023
In this paper, an efficient lattice Boltzmann model for the generalized Black-Scholes equation governing option pricing is proposed. The Black-Scholes equation is firstly equivalently transformed into an initial value problem for a partial differential ...
Fangfang Wu, Duoduo Xu, Ming Tian, Yingying Wang   +3 more
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Progress in developing Poisson-Boltzmann equation solvers [PDF]

Computational and Mathematical Biophysics, 2013
Li Chuan, Li Lin, Petukh Marharyta, Alexov Emil   +3 more
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Investigating the Numerical solution of the BoltzmannTransport Equation in silicon in Momentum Space Using Computational Systems of Different Dimensions [PDF]

مجلة التربية والعلم, 2020
The Boltzmann transport equation is the basic equation for solving the transport of charge carrier (electrons, holes) problems in semiconductor devices. The distribution function has been obtained from the solution of this equation.
Mumtaz Hussien, Mahmood Mahmood
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On the Periodic Lorentz Gas and the Lorentz Kinetic Equation [PDF]

, 2007
We prove that the Boltzmann-Grad limit of the Lorentz gas with periodic distribution of scatterers cannot be described with a linear Boltzmann equation. This is at variance with the case of a Poisson distribution of scatterers, for which the convergence ...
Golse, François
core   +5 more sources

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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