5 papers
Convergence of an Eulerian scheme for the Vlasov-Poisson-BGK model
Seung Yeon Cho, Sungsu Park, Seok-Bae Yun
The Vlasov-Poisson-BGK (VPBGK) model is a kinetic model for describing the dynamics of collisional plasmas. Although various numerical schemes have been developed for it, a corresp…
Steady Solutions to the Relativistic Boltzmann Equation in a Slab
Jin Woo Jang, Seok-Bae Yun
We study steady solutions to the relativistic Boltzmann equation with hard-sphere interactions in a slab geometry. Under a spatial symmetry assumption in the transverse variables $…
Ill-posedness of the Boltzmann-BGK model in the exponential class
Donghyun Lee, Sungbin Park, Seok-Bae Yun
BGK (Bhatnagar-Gross-Krook) model is a relaxation-type model of the Boltzmann equation, which is popularly used in place of the Boltzmann equation in physics and engineering. In th…
Stationary Boltzmann Equation for Polyatomic Gases in a slab
Ki-Nam Hong, Marwa Shahine, Seok-Bae Yun
We consider the existence of steady rarefied flows of polyatomic gas between two parallel condensed phases, where evaporation and condensation processes occur. To this end, we stud…
A conservative semi-Lagrangian scheme for the ellipsoidal BGK model of the Boltzmann equation
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo +1
In this paper, we propose a high order conservative semi-Lagrangian scheme (SL) for the ellipsoidal BGK model of the Boltzmann transport equation. To avoid the time step restrictio…