100 citations · 588 across the 21 of their papers we have counts for
4 papers · 1 filter
Fourier Law and Non-Isothermal Boundary in the Boltzmann Theory
Raffaele Esposito, Yan Guo, Chanwoo Kim +1
In the study of the heat transfer in the Boltzmann theory, the basic problem is to construct solutions to the steady problem for the Boltzmann equation in a general bounded domain…
The Boltzmann equation near a rotational local Maxwellian
Chanwoo Kim, Seok-Bae Yun
In rotationally symmetric domains, the Boltzmann equation with specular reflection boundary condition has a special type of equilibrium states called the rotational local Maxwellia…
The viscous surface-internal wave problem: global well-posedness and decay
Yanjin Wang, Ian Tice, Chanwoo Kim
We consider the free boundary problem for two layers of immiscible, viscous, incompressible fluid in a uniform gravitational field, lying above a general rigid bottom in a three-di…
Boltzmann Equation with a Large Potential in a Periodic Box
Chanwoo Kim
The stability of the Maxwellian of the Boltzmann equation with a large amplitude external potential has been an important open problem. In this paper, we resolve this problem w…