Zobrazeno 1 - 10
of 56
pro vyhledávání: '"76P05, 82C40"'
We provide a rigorous derivation of Boltzmann's kinetic equation from the hard-sphere system for rarefied gas, which is valid for arbitrarily long time as long as the solution to the Boltzmann equation exists. This extends Lanford's landmark theorem
Externí odkaz:
http://arxiv.org/abs/2408.07818
Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime
We develop the time-dependent regularized 13-moment equations for general elastic collision models under the linear regime. Detailed derivation shows the proposed equations have super-Burnett order for small Knudsen numbers, and the moment equations
Externí odkaz:
http://arxiv.org/abs/2407.12845
Autor:
Li, Yanchao, Zhong, Mingying
The pointwise space-time behavior of the Green's function of the three-dimensional relativistic Boltzmann equation is studied in this paper. It is shown that the Green's function has a decomposition of the macroscopic diffusive waves and Huygens wave
Externí odkaz:
http://arxiv.org/abs/2405.06280
Autor:
Yang, Tong, Zhong, Mingying
We study the diffusion limit of the strong solution to the Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. By introducing a new decomposition of the solution to identify the essential components for generating the in
Externí odkaz:
http://arxiv.org/abs/2404.18389
Autor:
Alonso, Ricardo, Pavić-Čolić, Milana
This paper explores the $L^{p}$ Lebesgue's integrability propagation, $p\in(1,\infty]$, of a system of space homogeneous Boltzmann equations modelling a multi-component mixture of polyatomic gases based on the continuous internal energy. For typical
Externí odkaz:
http://arxiv.org/abs/2305.06749
From a unified vision of vector valued solutions in weighted Banach spaces, this manuscript establishes the existence and uniqueness for space homogeneous Boltzmann bi-linear systems with conservative collisional forms arising in complex gas dynamica
Externí odkaz:
http://arxiv.org/abs/2304.06005
Publikováno v:
Kinetic and Related Models, 2020, 13(6): 1163-1174
Entropic property of the Ellipsoidal Statistical model with the Prandtl number Pr below 2/3 is discussed. Although 2/3 is the lower bound of Pr for the H theorem to hold unconditionally, it is shown that the theorem still holds even for $\mathrm{Pr}<
Externí odkaz:
http://arxiv.org/abs/2212.13342
In this note we study Boltzmann's collision kernel for inverse power law interactions $U_s(r)=1/r^{s-1}$ for $s>2$ in dimension $ d=3 $. We prove the limit of the non-cutoff kernel to the hard-sphere kernel and give precise asymptotic formulas of the
Externí odkaz:
http://arxiv.org/abs/2209.14075
We consider general linear kinetic equations combining transport and a linear collision on the kinetic variable with a spatial weight that can vanish on part of the domain. The considered transport operators include external potential forces and boun
Externí odkaz:
http://arxiv.org/abs/2209.09340
Autor:
Zhao, Shijia, Zhong, Mingying
The spectrum structure of the linearized relativistic Boltzmann equation around a global Maxwellian is studied in this paper. Based on the spectrum analysis, we establish the optimal time-convergence rates of the global solution to the Cauchy problem
Externí odkaz:
http://arxiv.org/abs/2208.09133