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Well-posedness for the 3-D generalized micropolar system in critical Fourier–Besov–Morrey spaces

Part of: Partial differential equations Equations of mathematical physics and other areas of application Incompressible viscous fluids

Published online by Cambridge University Press:  26 February 2025

Peng Gao ,
Baoquan Yuan Open the ORCID record for Baoquan Yuan [Opens in a new window]  and
Tiantian Zhai
Peng Gao
Affiliation:
School of Mathematics and Information Science, Henan Polytechnic University, Henan, 454000, China e-mail: gp13598723956@163.com 1261398840@qq.com
Baoquan Yuan*
Affiliation:
School of Mathematics and Information Science, Henan Polytechnic University, Henan, 454000, China e-mail: gp13598723956@163.com 1261398840@qq.com
Tiantian Zhai
Affiliation:
School of Mathematics and Information Science, Henan Polytechnic University, Henan, 454000, China e-mail: gp13598723956@163.com 1261398840@qq.com
*
e-mail: bqyuan@hpu.edu.cn
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Abstract

In this article, we focus on the Cauchy problem of the three-dimensional generalized incompressible micropolar system in critical Fourier–Besov–Morrey spaces. By using the Fourier localization argument and the Littlewood–Paley theory, we get the local well-posedness results and global well-posedness results with small initial data belonging to the critical Fourier–Besov–Morrey spaces.

Keywords

Generalized micropolar systemglobal well-posednessFourier–Besov–Morrey space

MSC classification

Primary: 35B65: Smoothness and regularity of solutions 35Q35: PDEs in connection with fluid mechanics 76D03: Existence, uniqueness, and regularity theory
Type
Article
Information
Canadian Mathematical Bulletin , First View , pp. 1 - 17
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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