40 citations · 209 across the 49 of their papers we have counts for
8 papers · 1 filter
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…
Existence and hydrodynamic limit for a Paveri-Fontana type kinetic traffic model
Young-Pil Choi, Seok-Bae Yun
We study a Paveri-Fontana type model, which describes the evolution of the mesoscopic distribution of vehicles through a combined effect of adjustment of the velocity with respect…
One-dimensional diatomic Vlasov-Poisson system with oscillatory molecular bonds
Sun-Ho Choi, Seok-Bae Yun
In this paper, we derive a Vlasov type kinetic model for diatomic plasma in which each ion consists of two atoms bonded through an oscillatory intermolecular force given by a singu…
Strong solutions to the inhomogeneous Navier-Stokes-BGK system
Young-Pil Choi, Jaeseung Lee, Seok-Bae Yun
In this paper, we are concerned with the local-in-time well-posedness of a fluid-kinetic model in which the BGK model with density dependent collision frequency is coupled with the…
Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation
Jin Woo Jang, Robert M. Strain, Seok-Bae Yun
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation. These bounds have been known to be a chall…
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…
High order conservative Semi-Lagrangian scheme for the BGK model of the Boltzmann equation
Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo +1
In this paper, we present a conservative semi-Lagrangian finite-difference scheme for the BGK model. Classical semi-Lagrangian finite difference schemes, coupled with an L-stable t…
A kinetic description for the herding behavior in financial market
Hyeong-Ohk Bae, Seung-Yeon Cho, Jeongho Kim +1
As a continuation of the study of the herding model proposed in (Bae et al. in arXiv:1712.01085, 2017), we consider in this paper the derivation of the kinetic version of the herdi…