Asymptotic behavior of global mild solutions to the Keller-Segel-Navier-Stokes system in Lorentz spaces

The Keller-Segel-Navier-Stokes system in RN{{\mathbb{R}}}^{N} is considered, where N≥3N\ge 3. We show the existence and uniqueness of local mild solutions for arbitrary initial data and gravitational potential in scaling invariant Lorentz spaces. Although such a result has already been shown by Kozo...

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Bibliographic Details

Published in:	Advances in Nonlinear Analysis
Main Author:	Takeuchi Taiki
Format:	Article
Language:	English
Published:	De Gruyter 2025-05-01
Subjects:	keller-segel-navier-stokes system asymptotic behavior lorentz spaces scaling invariant primary; 35b40 secondary; 35a01 35a23 35k45 35q92 92c17
Online Access:	https://doi.org/10.1515/anona-2025-0080