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A Note on the Global Existence in a Fully Parabolic Patlak-Keller-Segel-Navier-Stokes System

A Note on the Global Existence in a Fully Parabolic Patlak-Keller-Segel-Navier-Stokes System

Year:    2025

Author:    Pan Zheng

Communications in Mathematical Analysis and Applications, Vol. 4 (2025), Iss. 2 : pp. 179–201

Abstract

This paper is concerned with a fully parabolic Patlak-Keller-Segel-Navier-Stokes system

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where $Ω ⊂\mathbb{R}^2$ is a smoothly bounded domain and the parameter $χ$ is positive. The main aim of this note is to show that if

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then the solution of the above system is global and bounded in time.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmaa.2025-0002

Communications in Mathematical Analysis and Applications, Vol. 4 (2025), Iss. 2 : pp. 179–201

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Global existence boundedness Patlak-Keller-Segel-Navier-Stokes.

Author Details

Pan Zheng