The Vlasov-Maxwell-Boltzmann system near Maxwellians with strong background magnetic field

发布时间：2021-12-03 作者：浏览次数：

Speaker:	雷远杰	DateTime:	2021年12月5日（周日）下午3：30-4：20
Brief Introduction to Speaker: 雷远杰，华中科技大学。		Place:	6号楼二楼报告厅
Abstract:In this paper, we are concerned with the construction of global-in-time solutions of the Cauchy problem of the Vlasov-Maxwell-Boltzmann system near Maxwellians with strong uniform background magnetic field. The background magnetic field under our consideration can be any given non-zero constant vector rather than vacuum in the previous results available up to now. Our analysis is motivated by the nonlinear energy method developed recently in [16,24,25] for the Boltzmann equation and the key point in our analysis is to deduce the dissipation estimates of the electronic field and strong background magnetic field.