Large global solutions to the three dimensional chemotaxis-Navier–Stokes equations slowly varying in one direction

Large global solutions to the three dimensional chemotaxis-Navier–Stokes equations slowly varying in one direction

We investigate the global well-posedness to the three dimensional chemotaxis-Navier–Stokes equations with a class of large initial data slowly varying in one direction. The proof uses the special coupling structure of the system and the localization technique in Fourier spaces.

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Veröffentlicht in:Applied mathematics letters 2021-02, Vol.112, p.106773, Article 106773
Hauptverfasser: Chen, Qionglei, Hao, Xiaonan
Format: Artikel
Sprache:eng
Schlagworte:
Anisotropic Besov spaces
Chemotaxis-Navier–Stokes equations
Fourier localization
Well-posedness
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Zusammenfassung:We investigate the global well-posedness to the three dimensional chemotaxis-Navier–Stokes equations with a class of large initial data slowly varying in one direction. The proof uses the special coupling structure of the system and the localization technique in Fourier spaces.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106773