21 citations · 46 across the 22 of their papers we have counts for
32 papers
Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs
Seungchan Ko, Seok-Bae Yun, Youngjoon Hong
In this paper, we perform the convergence analysis of unsupervised Legendre--Galerkin neural networks (ULGNet), a deep-learning-based numerical method for solving partial different…
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…
A unified framework for distributed optimization algorithms over time-varying directed graphs
Woocheol Choi, Doheon Kim, Seok-Bae Yun
In this paper, we propose a framework under which the decentralized optimization algorithms suggested in \cite{JKJJ,MA, NO,NO2} can be treated in a unified manner. More precisely,…
Entropy production estimate for the ES-BGK model with the correct Prandtl number
Doheon Kim, Myeong-Su Lee, Seok-Bae Yun
In this paper, we establish the entropy-entropy production estimate for the ES-BGK model, a generalized version of the BGK model of the Boltzmann equation introduced for better app…
Relativistic BGK model for massless particles in the FLRW spacetime
Byung-Hoon Hwang, Ho Lee, Seok-Bae Yun
In this paper, we address the Cauchy problem for the relativistic BGK model proposed by Anderson and Witting for massless particles in the Friedmann-Lemaitre-Robertson-Walker (FLRW…