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二维可压缩Navier-Stokes方程在柯西问题下允许真空大初值光滑解的整体适定性
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   2022-9-12

The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum as far field density is considered. When the shear viscosity is a positive constant and the bulk one is a power function of density with the power bigger than four-thirds, the global existence and uniqueness of strong and classical solutions is established. It should be remarked that there are no restrictions on the size of the data
     
Publication:  
SIAM Journal on Mathematical Analysis. Vol. 54, Iss. 3, pp: 3192-3214. 

 

Author:   

Xiangdi Huang

Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China

Email: xdhuang@amss.ac.cn

 

Jing Li

Department of Mathematics, and Institute of Mathematics and Interdisciplinary Sciences, Nanchang University, Nanchang 330031, P. R. China

Institute of Applied Mathematics, AMSS, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, P.R. China

School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, P. R. China

Email: ajingli@gmail.com

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