Showing math.APShow all
3 papers · 1 filter
math.AP2026
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 $…
math.AP2026
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…
math.AP2025
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…