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