Solving Linearized Landau Equation Pointwisely
Mathematical Physics
2017-09-12 v2 Analysis of PDEs
math.MP
Abstract
We study the pointwise (in the space and time variables) behavior of the linearized Landau equation for hard and moderately soft potentials. The solution has very clear description in the variables, including large time behavior and asymptotic behavior. More precisely, we obtain the pointwise fluid structure inside finite Mach number region, and exponential or sub-exponential decay, depending on interactions between particles, in the space variable outside finite Mach number region. The spectrum analysis, regularization effect and refined weighted energy estimate play important roles in this paper.
Cite
@article{arxiv.1709.00839,
title = {Solving Linearized Landau Equation Pointwisely},
author = {Haitao Wang and Kung-Chien Wu},
journal= {arXiv preprint arXiv:1709.00839},
year = {2017}
}