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

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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.

Original languageEnglish
Pages (from-to)2261-2300
Number of pages40
JournalCommunications in Mathematical Sciences
Volume16
Issue number8
DOIs
Publication statusPublished - 2018 Jan 1

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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