Asymptotic behavior of solutions to incompressible electron inertial Hall-MHD system in R3

Ning Duan, Yasuhide Fukumoto, Xiaopeng Zhao

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, by using Fourier splitting method and the properties of decay character r*, we consider the decay rate on higher order derivative of solutions to 3D incompressible electron inertial Hall-MHD system in Sobolev space Hs(R3) × Hs +1(R3) for s ∈ N+. Moreover, based on a parabolic interpolation inequality, bootstrap argument and some weighted estimates, we also address the space-time decay properties of strong solutions in R3

Original languageEnglish
Pages (from-to)3035-3057
Number of pages23
JournalCommunications on Pure and Applied Analysis
Volume18
Issue number6
DOIs
Publication statusPublished - Nov 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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