Global existence result for chemotaxis Navier–Stokes equations in the critical Besov spaces

Author:

Choe Hi Jun,Lkhagvasuren Bataa

Funder

NRF

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference11 articles.

1. Fourier Analysis and Nonlinear Partial Differential Equations;Bahouri,2011

2. Harmonic analysis tools for solving the incompressible Navier–Stokes equations;Cannone,2004

3. Existence of smooth solutions to coupled chemotaxis-fluid equations;Chae;Discrete Contin. Dyn. Syst.,2013

4. Global existence and temporal decay in Keller–Segel models coupled to fluid equations;Chae;Comm. Partial Differential Equations,2014

5. Wellposedness of the Keller–Segel Navier–Stokes equations in the critical Besov spaces;Choe;Commun. Pure Appl. Anal.,2015

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1. An Application of BMO-type Space to Chemotaxis-fluid Equations;Acta Mathematica Sinica, English Series;2023-08

2. On the fractional chemotaxis Navier-Stokes system in the critical spaces;Discrete and Continuous Dynamical Systems - B;2023

3. An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model;ESAIM: Control, Optimisation and Calculus of Variations;2021

4. Global Existence for an Attraction–Repulsion Chemotaxis-Fluid System in a Framework of Besov–Morrey type;Journal of Mathematical Fluid Mechanics;2020-11-19

5. Global well-posedness for the 3D incompressible Keller–Segel–Navier–Stokes equations;Zeitschrift für angewandte Mathematik und Physik;2019-08-26

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