Global existence to the BGK model of Boltzmann equation
نویسندگان
چکیده
منابع مشابه
Global Existence Proof for Relativistic Boltzmann Equation with Hard Interactions
By combining the DiPerna and Lions techniques for the nonrelativistic Boltzmann equation and the Dudyński and Ekiel-Jeżewska device of the causality of the relativistic Boltzmann equation, it is shown that there exists a global mild solution to the Cauchy problem for the relativistic Boltzmann equation with the assumptions of the relativistic scattering cross section including some relativistic...
متن کاملAn Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation
In this paper, we study a time discrete scheme for the initial value problem of the ES-BGK kinetic equation. Numerically solving these equations are challenging due to the nonlinear stiff collision (source) terms induced by small mean free or relaxation time. We study an implicit-explicit (IMEX) time discretization in which the convection is explicit while the relaxation term is implicit to ove...
متن کاملConvergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation
Recently, a new class of semi-Lagrangian methods for the BGK model of the Boltzmann equation has been introduced [8, 17, 18]. These methods work in a satisfactory way either in rarefied or fluid regime. Moreover, because of the semi-Lagrangian feature, the stability property is not restricted by the CFL condition. These aspects make them very attractive for practical applications. In this paper...
متن کاملAn Efficient NRxx Method for Boltzmann-BGK Equation
In [3], we proposed a numerical regularized moment method of arbitrary order (abbreviated as NRxx method) for Boltzmann-BGK equation, which makes numerical simulation using very large number of moments possible. In this paper, we are further exploring the efficiency of NRxx method with techniques including the 2nd order HLL flux with linear reconstruction to improve spatial accuracy, the RKC sc...
متن کاملA hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation
Our purpose is to derive a hybrid model for particle systems which combines a kinetic description of the fast particles with a fluid description of the thermal ones. In the present work, fast particles will be described through a collisional kinetic equation of BoltzmannBGK type while thermal particles will be modeled by means of a system of Euler type equations. Then, we construct a numerical ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1989
ISSN: 0022-0396
DOI: 10.1016/0022-0396(89)90173-3