Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Qi, Kunlun"'
Motivated by the challenge of moment recovery in hydrodynamic approximation in kinetic theory, we propose a data-driven approach for the hydrodynamic models. Inspired by continuous data assimilation, our method introduces a relaxation-based nudging s
Externí odkaz:
http://arxiv.org/abs/2409.03872
Autor:
Fang, Zhendong, Qi, Kunlun
In this paper, we study the hydrodynamic limit transition from the Boltzmann equation for gas mixtures to the two-fluid macroscopic system. Employing a meticulous dimensionless analysis, we derive several novel hydrodynamic models via the moments' me
Externí odkaz:
http://arxiv.org/abs/2408.03570
Autor:
Liu, Liu, Qi, Kunlun
In this paper, we study the Boltzmann equation with uncertainties and prove that the spectral convergence of the semi-discretized numerical system holds in a combined velocity and random space, where the Fourier-spectral method is applied for approxi
Externí odkaz:
http://arxiv.org/abs/2402.07060
We use the Wigner transformation and asymptotic analysis to systematically derive the semi-classical model for the Schr\"{o}dinger equation in arbitrary spatial dimensions, with any periodic structure. Our particular emphasis lies in addressing the \
Externí odkaz:
http://arxiv.org/abs/2402.06828
In this paper, we develop a multiscale hierarchy framework for objective molecular dynamics (OMD), a reduced order molecular dynamics with a certain symmetry, that connects it to the statistical kinetic equation, and the macroscopic hydrodynamic mode
Externí odkaz:
http://arxiv.org/abs/2307.16814
Autor:
Liu, Liu, Qi, Kunlun
It is well-known that the Fourier-Galerkin spectral method has been a popular approach for the numerical approximation of the deterministic Boltzmann equation with spectral accuracy rigorously proved. In this paper, we will show that such a spectral
Externí odkaz:
http://arxiv.org/abs/2212.04083
Autor:
Jang, Jin Woo, Qi, Kunlun
This paper is concerned with the inelastic Boltzmann equation without angular cutoff. We work in the spatially homogeneous case. We establish the global-in-time existence of measure-valued solutions under the generic hard potential long-range interac
Externí odkaz:
http://arxiv.org/abs/2206.09636
Publikováno v:
In International Journal of Applied Earth Observation and Geoinformation May 2024 129
Autor:
Qi, Kunlun
The goal of this paper is to extend the existence result of measure-valued solution to the Boltzmann equation in elastic interaction, given by Morimoto-Wang-Yang, to the inelastic Boltzmann equation with moderately soft potentials, also as an extensi
Externí odkaz:
http://arxiv.org/abs/2011.13309
Numerical approximation of the Boltzmann equation is a challenging problem due to its high-dimensional, nonlocal, and nonlinear collision integral. Over the past decade, the Fourier-Galerkin spectral method has become a popular deterministic method f
Externí odkaz:
http://arxiv.org/abs/2007.05184