13 citations · 26 across the 9 of their papers we have counts for
4 papers · 1 filter
On the Measure Valued Solution to the Inelastic Boltzmann Equation with Soft Potentials
Kunlun Qi
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…
A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation
Jingwei Hu, Kunlun Qi, Tong Yang
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 Fourie…
Measure Valued Solution to the Spatially Homogeneous Boltzmann Equation with Inelastic Long-Range Interactions
Kunlun Qi
This paper is to study the inelastic Boltzmann equation without Grad's angular cutoff assumption, where the well-posedness theory of the solution to the initial value problem is es…
A fast Fourier spectral method for the homogeneous Boltzmann equation with non-cutoff collision kernels
Jingwei Hu, Kunlun Qi
We introduce a fast Fourier spectral method for the spatially homogeneous Boltzmann equation with non-cutoff collision kernels. Such kernels contain non-integrable singularity in t…