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The Vlasov-Maxwell-Landau (VML) system and the Vlasov-Maxwell-Boltzmann (VMB) system are fundamental models in dilute collisional plasmas. In this paper, we are concerned with the hydrodynamic limits of both the VML and the non-cutoff VMB systems in
Externí odkaz:
http://arxiv.org/abs/2310.11745
Autor:
Lei, Yuanjie, Jiang, Ning
In the diffusive regime, we obtain the uniform in Knudsen number estimate on the two-species Vlasov-Maxwell-Landau system with Coulomb potential around the global equilibrium. As a consequence, we justify the limit to the two-fluid incompressible Nav
Externí odkaz:
http://arxiv.org/abs/2309.01052
Autor:
Jiang, Ning, Lei, Yuanjie
We obtain the global-in-time and uniform in Knudsen number $\epsilon$ energy estimate for the cutoff and non-cutoff scaled Vlasov-Maxwell-Boltzmann system for the soft potential. For the non-cutoff soft potential cases, our analysis relies heavily on
Externí odkaz:
http://arxiv.org/abs/2308.12607
In this paper, we study the hydrodynamic limits of both the Landau equation and the Vlasov-Maxwell-Landau system in the whole space. Our main purpose is two-fold: the first one is to give a rigorous derivation of the compressible Euler equations from
Externí odkaz:
http://arxiv.org/abs/2209.15201
Publikováno v:
In Journal of Functional Analysis 1 October 2024 287(7)
Autor:
Fan, Yingzhe, Lei, Yuanjie
Motivated by Duan et al.[Global Mild Solutions of the Landau and Non-Cutoff Boltzmann Equations, Comm. Pure Appl. Math., 74(5), 932-1020.], the global existence of mild solutions to the Vlasov-Maxwell-Fokker-Planck system near a global Maxwellians wi
Externí odkaz:
http://arxiv.org/abs/2112.00244
For the whole range of cutoff intermolecular interactions, we give a rigorous mathematical justification of the limit from the Vlasov-Maxwell-Boltzmann system to the Vlasov-Poisson-Boltzmann system as the light speed tends to infinity.Such a limit is
Externí odkaz:
http://arxiv.org/abs/2111.02132
Autor:
Fan, Yingzhe, Lei, Yuanjie
Publikováno v:
In Nonlinear Analysis: Real World Applications June 2023 71
Publikováno v:
Journal of the London Mathematical Society; Nov2024, Vol. 110 Issue 5, p1-82, 82p
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