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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.AP2021
Hydrodynamic limit of a coupled Cucker-Smale system with strong and weak internal variable relaxation
Jeongho Kim, David Poyato, Juan Soler
In this paper, we present the hydrodynamic limit of a multiscale system describing the dynamics of two populations of agents with alignment interactions and the effect of an intern…