2 citations · 3 across the 8 of their papers we have counts for
9 papers
Rough Axisymmetric Euler Dynamics: Global Energy Compactness and Kinetic Passage Across Regularity Breakdown
Gi-Chan Bae, Hongxu Chen, Chanwoo Kim
We establish global energy compactness for rough three-dimensional axisymmetric Euler flow without swirl and use it to construct hydrodynamic limits of collisional kinetic equation…
Hydrodynamic Limit of the Boltzmann Equation toward Generic Riemann Solutions with Shocks
Mingi Choe, Moon-Jin Kang, Chanwoo Kim
We establish the hydrodynamic limit of the one-dimensional Boltzmann equation with hard-sphere collisions toward Riemann solutions of the compressible Euler system. The Riemann sol…
Quantitative Closure Analysis toward Ideal Fluids
Gi-Chan Bae, Chanwoo Kim
We establish the incompressible low--Mach/high--Reynolds limit for the Boltzmann equation for a broad class of initial data, without recourse to any asymptotic expansion. Exploitin…
Gradient Decay in the Boltzmann theory of Non-isothermal boundary
Hongxu Chen, Chanwoo Kim
We consider the Boltzmann equation in convex domain with non-isothermal boundary of diffuse reflection. For both unsteady/steady problems, we construct solutions belong to $W^{1,p}…
Asymptotics of Helmholtz-Kirchhoff Point-Vortices in the Phase Space
Chanwoo Kim, Trinh T. Nguyen
A rigorous derivation of point vortex systems from kinetic equations has been a challenging open problem, due to singular layers in the inviscid limit, giving a large velocity grad…
Nonlinear asymptotic stability of inhomogeneous steady solutions to boundary problems of Vlasov-Poisson equation
Chanwoo Kim
We consider an ensemble of mass collisionless particles, which interact mutually either by an attraction of Newton's law of gravitation or by an electrostatic repulsion of Coulomb'…
Exponential Mixing of Vlasov equations under the effect of Gravity and Boundary
Jiaxin Jin, Chanwoo Kim
In this paper, we study exponentially fast mixing induced/enhanced by gravity and stochastic boundary in the kinetic theory of Vlasov equations. We consider the Vlasov equations wi…
Vorticity convergence from Boltzmann to 2D incompressible Euler equations below Yudovich class
Chanwoo Kim, Joonhyun La
It is challenging to perform a multiscale analysis of mesoscopic systems exhibiting singularities at the macroscopic scale. In this paper, we study the hydrodynamic limit of the Bo…
Lipschitz continuous solutions of the Vlasov-Maxwell systems with a conductor boundary condition
Yunbai Cao, Chanwoo Kim
We consider relativistic plasma particles subjected to an external gravitation force in a D half space whose boundary is a perfect conductor. When the mean free path is much big…