Zhouyu Li, Zean Rao, Wenjing Song
Abstract:
This article concerns the stability and long-time behavior of 3D anisotropic
micropolar systems with fractional dissipation in \(\mathbb{R}^3\).
By using delicate energy estimates, we prove the stability of solutions to this
system when the \(H^m\) \((m\geq2)\) norm of the initial data is suitably small,
and obtain the decay rate for the horizontal derivatives of this solution.
Submitted March 1, 2026. Published June 30, 2026.
Math Subject Classifications: 35B35, 35B40, 35Q35, 76D03.
Key Words: 3D micropolar system; fractional dissipation; stability; long-time behavior.
DOI: 10.58997/ejde.2026.47
Show me the PDF file (377 KB), TEX file for this article.
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Zhouyu Li School of Mathematics Xi'an University of Technology Xi'an 710054, China email: zylimath@163.com |
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Zean Rao School of Mathematics Xi'an University of Technology Xi'an 710054, China email: zaraomath@163.com |
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Wenjing Song School of Science Xi'an Polytechnic University Xi'an 710048, China email: wenjingsong1@163.com |
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