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 1 2019

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Asymptotic Behavior of Solutions
Magnetohydrodynamics
Decay
Interpolation Inequality
Electron
Sobolev spaces
Weighted Estimates
Fourier Method
Electrons
Higher order derivative
Splitting Method
Strong Solution
Decay Rate
Bootstrap
Sobolev Spaces
Interpolation
Space-time
Derivatives
Character

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Asymptotic behavior of solutions to incompressible electron inertial Hall-MHD system in R3 . / Duan, Ning; Fukumoto, Yasuhide; Zhao, Xiaopeng.

In: Communications on Pure and Applied Analysis, Vol. 18, No. 6, 01.11.2019, p. 3035-3057.

Research output: Contribution to journalArticle

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