Global existence of weak solutions for the 3D chemotaxis-Navier-Stokes equations

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• 作者：Haibin He ^{mchehb@126.com} ; Qian Zhang ; ^{zhangqian@hbu.edu.cn}
• 关键词：Global existence ; Weak solutions ; Chemotaxis ; Navier&ndash ; Stokes ; Zygmund spaces
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：35
• 期：Complete
• 页码：336-349
• 全文大小：633 K
• 卷排序：35

文摘

In this paper, we consider the Cauchy problem for the three dimensional chemotaxis-Navier–Stokes equations. By exploring the new a priori estimates, we prove the global existence of weak solutions for the 3D chemotaxis-Navier–Stokes equations.