Global Existence of Strong Solutions for the Generalized Navier-Stokes Equations with Damping  

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作  者:Xiao-jing CAI Yan-jie ZHOU 

机构地区:[1]School of mathematics and statistics,Beijing Technology and Business University,Beijing 100048,China

出  处:《Acta Mathematicae Applicatae Sinica》2022年第3期627-634,共8页应用数学学报(英文版)

基  金:supported by NSFC(No.12171014);by the National Key Research and Development Project of China Grant(No.2017YFC1500301);Joint key project of the National Science Foundation of China and the China earthquake administration(No.U1839206);by Research Foundation for Advanced Talents of Beijing Technology and Business University(No.19008020161)。

摘  要:This paper mainly focus on the global existence of the strong solutions for the generalized NavierStokes equations with damping. We obtain the global existence and uniqueness when α ≥5/4 for β ≥ 1 and when 1/2+β/2≤ α ≤5/4 for 8/3≤ β<+∞.

关 键 词:generalized Navier-Stokes equations DAMPING global existence 

分 类 号:O175[理学—数学]

 

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