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  目:Well-posedness of Cauchy problem for Landau equation in critical Besov space

报告人: 徐超江 教授(武汉大学和法国鲁昂大学)


摘  要:  In this work, we study the Cauchy problem for the inhomogeneous Landau equation with Maxwellian molecule in the Chemin-Lerner type space. We prove the global existence of classical solution where the initial datum is a small perturbation of an equilibrium in the critical Besov space. In order to analyse the collision operator of Landau equation, by using the spectral analysis and a Chemin-Lerner norm, we obtained global a priori estimate for an energy estimate.
Following from commutator estimates and the Hahn-Banach extension theorem, we prove the local existence of solutions to the Landau equation. In perturbation framework, together with local existence and a priori energy estimate, we proved the global solution of the Cauchy problem for nonlinear Landau equation.


  间:  2018年5月9日 ( 周三) 16:00--17:00




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