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From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law - 江宁教授(武汉大学)

作者:   来源:  时间:2019-09-01

题目: From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law

 

报告人: 江宁教授(武汉大学)

摘要: 

For the two-species ;Vlasov-Maxwell-Boltzmann (VMB) system with the scaling under which the moments of the fluctuations to the global Maxwellians formally converge to the two-fluid incompressible Navier-Stokes-Fourier-Maxwell (NSFM) system with Ohm's law, we prove the uniform estimates with respect to Knudsen number $/eps$ for the fluctuations. 

As consequences, the existence of the global in time classical solutions of VMB is established. Furthermore, the convergence of the fluctuations of the solutions of VMB to the classical solutions of NSFM with Ohm's law is rigorously justified. 
  
This limit was justified in the recent breakthrough of Arsenio and Saint-Raymond from renormalized solutions of VMB to dissipative solutions of incompressible viscous electro-magneto-hydrodynamics under the corresponding scaling. In this sense, our result gives a classical solution analogue of the corresponding limit in Arsenio and Saint-Raymond's work.

时间:9月1日上午 10:00--11:00

地点:新教二楼 527 教室

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