Global Well-Posedness of Classical Solutions to the Cauchy Problem of Two-Dimensional Barotropic Compressible Navier--Stokes System with Vacuum and Large Initial Data (Xiangdi Huang)

Watch Video

09 09, 2022

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

Contacts:

E-mail:

Copyright@2008,All Rights Reserved, Academy of Mathematics and Systems Science,CAS
Tel:86-10-82541777 Fax: 86-10-82541972 E-mail: contact@amss.ac.cn
京ICP备05002806-1号 京公网安备110402500020号