3 papers
math.AP2026
Global renormalized solutions for hard potential non-cutoff Boltzmann equation without defect measure
Yi-Long Luo, Jing-Xin Nie
The existence of global renormalized solutions to the Boltzmann equation with long-range interactions without angular cutoff was first established by Alexandre and Villani [Comm. P…
math.AP2026
Global renormalized solutions to Boltzmann systems modeling mixture gases of monatomic and polyatomic species
Yi-Long Luo, Jing-Xin Nie
Inspired by DiPerna-Lions' work \cite{Diperna-Lions}, we study the renormalized solutions to the large-data Cauchy problem of the Boltzmann systems modeling mixture gases of monato…
math.AP2025
Hydrodynamic limits from the self-organized kinetic system for body attitude coordination
Naping Guo, Yi-Long Luo
The self-organized kinetic system for body attitude coordination (SOKB) was recently derived by Degond et al. (Math. Models Methods Appl. Sci. 27(6), 1005-1049, 2017). This system…