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

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• 作者：Hi Jun Choe ; Bataa Lkhagvasuren ; ^{bat120@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Wellposedness ; Keller&ndash ; Segel model ; Incompressible Navier&ndash ; Stokes equations ; Critical Besov spaces
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：446
• 期：2
• 页码：1415-1426
• 全文大小：307 K

文摘

We consider the chemotaxis Navier–Stokes equations which are the Keller–Segel model coupled to the incompressible Navier–Stokes equations in dimension three. We prove the global existence of the solution in the critical Besov spaces with small initial data only, which is a new result and improves the previous result.