33 citations · 46 across the 18 of their papers we have counts for
4 papers · 1 filter
The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition
Hongjie Dong, Yan Guo, Zhimeng Ouyang +1
We prove the local-in-time well-posedness of the relativistic Vlasov-Maxwell-Landau system in a bounded domain with the specular reflection condition. Our result covers the cas…
Conditional estimates for the non-cutoff Boltzmann equation in a bounded domain
Zhimeng Ouyang, Luis Silvestre
We consider weak solutions of the inhomogeneous non-cutoff Boltzmann equation in a bounded domain with any of the usual physical boundary conditions: in-flow, bounce-back, specular…
Diffusive Limit of the Boltzmann Equation in Bounded Domains
Zhimeng Ouyang, Lei Wu
The rigorous justification of the hydrodynamic limits of kinetic equations in bounded domains has been actively investigated in recent years. In spite of the progress for the diffu…
Diffusive Limit of the Unsteady Neutron Transport Equation in Bounded Domains
Zhimeng Ouyang
The justification of hydrodynamic limits in non-convex domains has long been an open problem due to the singularity at the grazing set. In this paper, we investigate the unsteady n…