4 papers · 1 filter
Regular Lenard-Balescu equations in a Periodic Box
Junhwa Jung, Toan T. Nguyen
The Lenard-Balescu equation is a collisional kinetic model widely used in plasma physics as a Bogoliubov correction to the meanfield Vlasov theory. Unlike the classical Landau and…
Strong diffusive limit of the Boltzmann equation with Maxwell boundary condition
Yan Guo, Junhwa Jung, Fujun Zhou
While weak diffusive limit from the Boltzmann equation to the incompressible Navier-Stokes-Fourier system was established for the Maxwell boundary condition within renormalized sol…
Global Diffusive Expansion of Boltzmann Equation in exterior Domain
Junhwa Jung
The study of flows over an obstacle is one of the fundamental problems in fluids. In this paper we establish the global validity of the diffusive limit for the Boltzmann equations…
Diffusive Expansion of the Boltzmann equation for the flow past an obstacle
Yan Guo, Junhwa Jung
The exterior domain problem is essential in fluid and kinetic equations. In this paper, we establish the validity of the diffusive expansion for the Boltzmann equations to the Navi…