English

$L^2$ decay for the linearized Landau equation with the specular boundary condition

Analysis of PDEs 2020-09-30 v2

Abstract

In this paper, we develop an alternative approach to establish the L2L^2 decay estimate for the linearized Landau equation in a bounded domain with specular boundary condition. The proof is based on the methodology of proof by contradiction motivated by [Guo, Comm. Pure Appl. Math., 55(9):1104-1135, 2002] and [Guo, Arch. Ration. Mech. Anal., 197(3):713-809, 2010].

Keywords

Cite

@article{arxiv.2009.01391,
  title  = {$L^2$ decay for the linearized Landau equation with the specular boundary condition},
  author = {Yan Guo and Hyung Ju Hwang and Jin Woo Jang and Zhimeng Ouyang},
  journal= {arXiv preprint arXiv:2009.01391},
  year   = {2020}
}

Comments

19 pages. More details have been added