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Well-posedness of Keller–Segel–Navier–Stokes equations with fractional diffusion in Besov spaces.
- Source :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP); Aug2024, Vol. 75 Issue 4, p1-21, 21p
- Publication Year :
- 2024
-
Abstract
- In this paper, we investigate the Cauchy problem of Keller–Segel–Navier–Stokes system with fractional diffusion. Making use of Fourier localization technique and Littlewood-Paley theory, we establish the global well-posedness of mild solution for small initial data in mixed time-space Besov spaces. Furthermore, we obtain the well-posedness of mild solution in time-weighted Besov spaces by Banach fixed point theorem. [ABSTRACT FROM AUTHOR]
- Subjects :
- BESOV spaces
HEAT equation
LITTLEWOOD-Paley theory
CAUCHY problem
BANACH spaces
Subjects
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 75
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 178594030
- Full Text :
- https://doi.org/10.1007/s00033-024-02268-x