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Two-Fluid Incompressible Navier-Stokes-Maxwell System with Ohm's Law Limit from Vlasov-Maxwell-Boltzmann System

Speaker

Ning Jiang, Wuhan University

Time

2018.09.11 14:00-15:00

Venue

601, Pao Yue-Kong Library

Abstract

We prove a global-in-time classical solution limit from the two-species Vlasov-Maxwell-Boltmann system to the two-fluid incompressible Navier- Stokes-Fourier-Maxwell system with solenoidal Ohm’s law. Besides the techniques developed for the classical solutions to the Vlasov-Maxwell-Boltzmann equations in the past years, such as the nonlinear energy method and micro-macro decomposition are employed, key roles are played by the decay properties of both the electric field and the wave equation with linear damping of the divergence free magnetic field. This work is a collaboration with Yi-Long Luo and Teng-fei Zhang.

Bio

Ning Jiang, Wuhan University