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math.AP2026
Hydrodynamic limit of rarefaction wave for the Vlasov-Maxwell-Landau system with Coulomb potential
Guanghui Wang, Lingda Xu, Tong Yang +1
In this paper, we investigate the hydrodynamic limit of rarefaction wave for the two-species Vlasov-Maxwell-Landau(VML) system with Coulomb potential. We prove that for any given t…
math.AP2024
Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the Vlasov-Maxwell-Boltzmann System
Tong Yang, Mingying Zhong
We study the diffusion limit of the strong solution to the Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. By introducing a new decomposition of t…