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20242026
most citedSeparable Physics-informed Neural Networks for Solving the BGK Model of the Boltzmann Equation

8 citations · 8 across the 6 of their papers we have counts for

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7 papers

math.AP2026

The Boltzmann-BGK model with nontrivial collision frequency near vacuum

Sungsu Park, Seok-Bae Yun

We study the Cauchy problem for the Boltzmann-BGK model in the three-dimensional whole space with nontrivial collision frequency , where , , an…

math.NA2026

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…

math.AP2025

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.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…

math.NA2025

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…

math.AP2024

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.NA2024★ 8 cited

Separable Physics-informed Neural Networks for Solving the BGK Model of the Boltzmann Equation

Jaemin Oh, Seung Yeon Cho, Seok-Bae Yun +2

In this study, we introduce a method based on Separable Physics-Informed Neural Networks (SPINNs) for effectively solving the BGK model of the Boltzmann equation. While the mesh-fr…