Smoothing effects and decay estimate of the solution of the linearized two species Landau equation

2017/06/23 by Yu-Chu Lin, Haitao Wang, Lin, Yu-Chu +3 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1706.07558

openalex publication_date 2017/06/23 · openalex created_date 2017/09/25 · openalex updated_date 2026/07/28

Abstract

We study the Landau equation for a mixture of two species in the whole space, with initial condition of one species near a vacuum and the other near a Maxwellian equilibrium state. For the linearized level, without any smoothness assumption on the initial data, it is shown that the solution becomes smooth instantaneously in both the space and momentum variables. Moreover, the large time behavior of the solution is also obtained.

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• On the existence of solutions to the multi-species Landau equation

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