Global Well-Posedness of the Non-Cutoff Boltzmann Equation with Polynomial Decay Perturbations


Tong Yang, City University of Hong Kong


2018.09.18 15:10-16:10


601, Pao Yue-Kong Library


The Boltzmann equation without angular cutoff is considered when the initial data is a perturbation of a global Maxwellian with algebraic decay in the velocity variable. Global solution is proved by combining the analysis in moment propagation, spectrum of the linearized operator and the smoothing effect of the linearized operator when initial data in Sobolev space with negative index. This is a joint work with Ricardo Alonso, Yoshinori Morimoto and Weiran Sun.