12 citations · 12 across the 3 of their papers we have counts for
6 papers · 1 filter
BGK model for multi-component gases near a global Maxwellian
Gi-Chan Bae, Christian Klingenberg, Marlies Pirner +1
In this paper, we establish the existence of the unique global-in-time classical solutions to the multi-component BGK model suggested in \cite{mixmodel} when the initial data is a…
The Shakhov model near a global Maxwellian
Gi-Chan Bae, Seok-Bae Yun
Shakhov model is a relaxation approximation of the Boltzmann equation proposed to overcome the deficiency of the original BGK model, namely, the incorrect production of the Prandtl…
The relativistic quantum Boltzmann equation near equilibrium
Gi-Chan Bae, Jin Woo Jang, Seok-Bae Yun
The relativistic quantum Boltzmann equation (or the relativistic Uehling-Uhlenbeck equation) describes the dynamics of single-species fast-moving quantum particles. With the recent…
BGK model of the multi-species Uehling-Uhlenbeck equation
Gi-Chan Bae, Christian Klingenberg, Marlies Pirner +1
We propose a BGK model of the quantum Boltzmann equation for gas mixtures. We also provide a sufficient condition that guarantees the existence of equilibrium coefficients so that…
Stationary quantum BGK model for bosons and fermions in a bounded interval
Gi-Chan Bae, Seok-Bae Yun
In this paper, we consider the existence problem for a stationary relaxational models of the quantum Boltzmann equation. More precisely, we establish the existence of mild solution…
Quantum BGK model near a global Fermi-Dirac distribution
Gi-Chan Bae, Seok-Bae Yun
In this paper, we consider the existence and asymptotic behavior of the fermionic quantum BGK model, which is a relaxation model of the quantum Boltzmann equation for fermions. Mor…