Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system

Yasuhide Fukumoto, Xiaopeng Zhao

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

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In this paper, the properties of weak and strong solutions for the Hall-magnetohydrodynamic system augmented by the effect of elec- tron inertia are studied. First, we establish the existence and uniqueness of local-in-time strong solutions; Then, we prove the existence of global strong solutions under the condition that ∥u 0H˙ 1/2 +∥B 0H˙ 1/2 +∥∇B 0H˙ 1/2 is sufficiently small. Moreover, by applying a cut-off function and gen- eralized energy inequality, we show that the weak solution of electron inertia Hall-MHD system approaches zero as the time t → ∞. Finally, the algebraic decay rate of the weak solution of electron inertia Hall- MHD system is established by using Fourier splitting method and the properties of decay character.

元の言語英語
ページ(範囲)31-68
ページ数38
ジャーナルAdvances in Differential Equations
24
発行部数1-2
出版物ステータス出版済み - 1 1 2019

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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