Premium
Existence and regularizing rate estimates of solutions to the 3‐D generalized micropolar system in Fourier‐Besov spaces
Author(s) -
Zhu Weipeng,
Zhao Jihong
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4699
Subject(s) - mathematics , fourier transform , stability (learning theory) , mathematical analysis , order (exchange) , initial value problem , besov space , compressibility , interpolation space , functional analysis , physics , biochemistry , chemistry , finance , machine learning , computer science , economics , gene , thermodynamics
In this paper, we study global existence and asymptotic stability of solutions for the initial value problem of the three‐dimensional (3‐D) generalized incompressible micropolar system in Fourier‐Besov spaces. Besides, we also establish some regularizing rate estimates of the higher‐order spatial derivatives of solutions, which particularly imply the spatial analyticity and the temporal decay of global solutions.