40 citations · 209 across the 49 of their papers we have counts for
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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…
Stationary Flows of the ES-BGK model with the correct Prandtl number
Stephane Brull, Seok-Bae Yun
Ellipsoidal BGK model (ES-BGK) is a generalized version of the BGK model where the local Maxwellian in the relaxation operator of the BGK model is extended to an ellipsoidal Gaussi…
Conservative semi-Lagrangian schemes for kinetic equations Part I: Reconstruction
Seung Yeon Cho, Sebastiano Boscarino, Giovanni Russo +1
In this paper, we propose and analyse a reconstruction technique which enables one to design high-order conservative semi-Lagrangian schemes for kinetic equations. The proposed rec…
Conservative semi-Lagrangian schemes for kinetic equations Part II: Applications
Seung Yeon Cho, Sebastiano Boscarino, Giovanni Russo +1
In this paper, we present a new class of conservative semi-Lagrangian schemes for kinetic equations. They are based on the conservative reconstruction technique introduced in [S. Y…
Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules
Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo +1
In this paper, we propose a new semi-Lagrangian scheme for the polyatomic ellipsoidal BGK model. In order to avoid time step restrictions coming from convection term and small Knud…
Stationary BGK models for chemically reacting gas in a slab
Doheon Kim, Myeong-Su Lee, Seok-Bae Yun
We study the boundary value problem of two stationary BGK-type models - the BGK model for fast chemical reaction and the BGK model for slow chemical reaction - and provide a unifie…
Propagation of estimates for the Spatially Homogeneous Relativistic Boltzmann Equation
Jin Woo Jang, Seok-Bae Yun
In this paper, we prove the propagation of upper bounds for the spatially homogeneous relativistic Boltzmann equation for any . We consider the case of relativist…