Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces

This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the solutions are analytic for a small interval of t...

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Bibliographic Details
Main Authors: Yang Minghua, Fu Zunwei, Liu Suying
Format: Article
Language:English
Published: De Gruyter 2018-08-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2017-6046