5 papers
Self-Similar Radially Symmetric Solutions of the Relativistic Euler Equations with Synge Energy
Tommaso Ruggeri, Ferdinand Thein, Qinghua Xiao
We consider self-similar, radially symmetric solutions of the relativistic Euler equations with constitutive relations from relativistic kinetic theory, based on Synge energies for…
Classical limit of the relativistic Vlasov-Maxwell-Landau system
Chuqi Cao, Ling-Bing He, Yuanjie Lei +1
The physical essence of the non-relativistic limit, from the relativistic Vlasov-Maxwell-Landau system to the Vlasov-Poisson-Landau system, lies in the transition from finite-speed…
Emergent behaviors of relativistic thermodynamic flocks with Synge energy
Ziming Bian, Seung-Yeal Ha, Tommaso Ruggeri +1
Collective motion and self-organization of interacting particles, such as flocking and swarming, can be viewed as nonequilibrium analogues of collective dynamics in gases. Motivate…
The non-cutoff Vlasov-Poisson-Boltzmann system with weak collisions
Yuanjie Lei, Shuangqian Liu, Qinghua Xiao +1
We prove global existence of smooth solutions near Maxwellians for the non-cutoff Vlasov-Poisson-Boltzmann system in the weakly collisional regime. To address the weak dissipation…
Optimal convergence speed in the classical limits of relativistic Cucker-Smale models
Seung-Yeal Ha, Tommaso Ruggeri, Qinghua Xiao
We study quantitative estimates for the flocking and uniform-time classical limit to the relativistic Cucker-Smale (in short RCS) model introduced in \cite{Ha-Kim-Ruggeri-ARMA-2020…