Uniqueness of weak solutions to a Keller–Segel–Navier–Stokes system. (November 2021)

• Record Type: Journal Article
• Authors: Chen, Miaochao; Lu, Shengqi; Liu, Qilin
• Is Part Of: Applied mathematics letters. Volume 121(2021)
• Publication Date: 2021-11
• Subjects: Keller–Segel–Navier–Stokes -- Uniqueness -- Weak solutions; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107417
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper proves some uniqueness results of weak solutions to a Keller–Segel–Navier–Stokes system in a bounded domain Ω ⊂ R N ( N ≥ 3 ) under some conditions. As a by-product, we show that these conditions hold true when N = 2 for the Keller–Segel–Navier–Stokes system with a logistic term.