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20102023
most citedCauchy problem for the Boltzmann-BGK model near a global Maxwellian

40 citations · 209 across the 49 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

math.AP2021

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…

math.OC2021

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,…

math.OC2021

Convergence results of a nested decentralized gradient method for non-strongly convex problems

Woocheol Choi, Doheon Kim, Seok-Bae Yun

We are concerned with the convergence of NEAR-DGD (Nested Exact Alternating Recursion Distributed Gradient Descent) method introduced to solve the distributed optimization prob…

math.AP2021

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…

math.AP2021★ 1 cited

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…

math.AP2021

On a relativistic BGK model for polyatomic gases near equilibrium

Byung-Hoon Hwang, Tommaso Ruggeri, Seok-Bae Yun

Recently, a novel relativistic polyatomic BGK model was suggested by Pennisi and Ruggeri [J. of Phys. Conf. Series, 1035, (2018)] to overcome drawbacks of the Anderson-Witting mode…