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On the asymptotic behavior of solutions to 3D generalized Hall‐MHD equations
Author(s) -
Zhao Xiaopeng
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900416
Subject(s) - magnetohydrodynamics , mathematics , norm (philosophy) , algebraic number , derivative (finance) , algebraic equation , mathematical analysis , physics , nonlinear system , plasma , law , quantum mechanics , political science , financial economics , economics
In this paper, we establish the L p ‐norm ( 1 < p ≤ ∞ ) algebraic decay rate of solutions and higher‐order derivative of solutions for 3D generalized Hall‐MHD system provided that the L 1 ‐norm of initial data is sufficiently small and the parameters α ∈ 5 4 , 2 , β ∈ 7 4 , 2 .
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