72 citations · 319 across the 13 of their papers we have counts for
16 papers
Dynamical Billiard and a long-time behavior of the Boltzmann equation in general 3D toroidal domains
Gyounghun Ko, Chanwoo Kim, Donghyun Lee
Establishing global well-posedness and convergence toward equilibrium of the Boltzmann equation with specular reflection boundary condition has been one of the central questions in…
Large amplitude problem of BGK model: Relaxation to quadratic nonlinearity
Gi-Chan Bae, Gyounghun Ko, Donghyun Lee +1
Bhatnagar-Gross-Krook (BGK) equation is a relaxation model of the Boltzmann equation which is widely used in place of the Boltzmann equation for the simulation of various kinetic f…
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…
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…
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…
The Boltzmann equation with large-amplitude initial data and specular reflection boundary condition
Renjun Duan, Gyounghun Ko, Donghyun Lee
For the Boltzmann equation with cutoff hard potentials, we construct the unique global solution converging with an exponential rate in large time to global Maxwellians not only for…