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math.AP2021
Hydrodynamic limits of the nonlinear Schrödinger equation with the Chern-Simons gauge fields
Jeongho Kim, Bora Moon
We present two types of the hydrodynamic limit of the nonlinear Schrödinger-Chern-Simons (SCS) system. We consider two different scalings of the SCS system and show that each SCS s…
math.AP2019
Propagation of the mono-kinetic solution in the Cucker-Smale-type kinetic equations
Moon-Jin Kang, Jeongho Kim
In this paper, we study the propagation of the mono-kinetic distribution in the Cucker-Smale-type kinetic equations. More precisely, if the initial distribution is a Dirac mass for…
math.AP2019★ 21 cited
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…