17 citations · 21 across the 5 of their papers we have counts for
5 papers
An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system
Xiaokai Huo, Hailiang Liu, Athanasios E. Tzavaras +1
We develop a new finite difference scheme for the Maxwell-Stefan diffusion system. The scheme is conservative, energy stable and positivity-preserving. These nice properties stem f…
Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff
Yoshinori Morimoto, Shuaikun Wang, Tong Yang
A uniform approach is introduced to study the existence of measure valued solutions to the homogeneous Boltzmann equation for both hard potential with finite energy, and soft poten…
A characterization of probability measure with finite moment and an application to the Boltzmann equation
Yong-Kum Cho, Yoshinori Morimoto, Shuaikun Wang +1
We characterize probability measure with finite moment of any order in terms of the symmetric difference operators of their Fourier transforms. By using our new characterization, w…
Moment classification of infinite energy solutions to the homogeneous Boltzmann equation
Yoshinori Morimoto, Shuaikun Wang, Tong Yang
In this paper, we will introduce a precise classification of characteristic functions in the Fourier space according to the moment constraint in the physical space of any order. Ba…
A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation
Yoshinori Morimoto, Shuaikun Wang, Tong Yang
The purpose of this paper is to introduce a new characterization of the characteristic functions for the study on the measure valued solution to the homogeneous Boltzmann equation…