A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid. (May 2023)

• Record Type: Journal Article
• Authors: Hong, Ping; Hou, Xiaofeng
• Is Part Of: Applied mathematics letters. Volume 139(2023)
• Publication Date: 2023-05
• Subjects: The three-dimensional micropolar fluid -- Strong solution -- Blowup criterion -- BMO norm; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2022.108544
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, we establish a new blowup criterion for the strong solution to the three-dimensional micropolar fluid equations with vacuum in a bounded domain Ω ⊂ R 3 . Specifically, we obtain the blowup criterion in terms of ‖ P ‖ L t ∞ B M O x, and it is independent on the velocity of rotation of the microscopic particles. Moreover, the appearance of vacuum could be allowed.