4 papers · 1 filter
Steady Solutions to the Relativistic Boltzmann Equation in a Slab
Jin Woo Jang, Seok-Bae Yun
We study steady solutions to the relativistic Boltzmann equation with hard-sphere interactions in a slab geometry. Under a spatial symmetry assumption in the transverse variables $…
Long-Time Dynamics of the 3D Vlasov-Maxwell System with Boundaries
Jin Woo Jang, Chanwoo Kim
We construct global-in-time classical solutions to the nonlinear Vlasov--Maxwell system in a three-dimensional half-space beyond the vacuum scattering regime in a physical setting…
Quantitative pointwise estimates of the cooling process for inelastic Boltzmann equation
Gayoung An, Jin Woo Jang, Donghyun Lee
In this paper, we study the homogeneous inelastic Boltzmann equation for hard spheres. We first prove that the solution is bounded pointwise from above by $C_{f_0}\langle…
On the axially symmetric solutions to the spatially homogeneous Landau equation
Jin Woo Jang, Junha Kim
In this paper, we consider the spatially homogeneous Landau equation, which is a variation of the Boltzmann equation in the grazing collision limit. For the Landau equation for har…