72 citations · 319 across the 13 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AP2021
On solution of the free-transport equation in a disk
Gyounghun Ko, Donghyun Lee
The free transport operator of probability density function is one the most fundamental operator which is widely used in many areas of PDE theory including kinetic theor…
math.AP2021★ 1 cited
Hölder regularity of the Boltzmann equation past an obstacle
Chanwoo Kim, Donghyun Lee
Regularity and singularity of the solutions according to the shape of domains is a challenging research theme in the Boltzmann theory (\cite{Kim11,GKTT1}). In this paper, we prove…
math.AP2021★ 10 cited
The large amplitude solution of the Boltzmann equation with soft potential
Gyounghun Ko, Donghyun Lee, Kwanghyuk Park
In this paper, we deal with (angular cut-off) Boltzmann equation with soft potential (). In particular, we construct a unique global solution in which conv…