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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(黄祥娣)
发布时间:2022-09-09 |来源:

  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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