%A Yanghai Yu,Jinlu Li,Xing Wu %T A Class of Global Large Solutions to 3D Navier-Stokes-Korteweg Equations %0 Journal Article %D 2021 %J Acta mathematica scientia,Series A %R %P 629-641 %V 41 %N 3 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_16415.shtml} %8 2021-06-26 %X

In this paper, we consider the Cauchy problem to the tri-dimensional compressible Navier-Stokes-Korteweg system with a specific choice on the Korteweg tensor in $\mathbb{R}^3$, and construct the global solutions to the tri-dimensional Navier-Stokes-Korteweg equations with a class of of large initial data, where the $L^{\infty}$ norm of the initial velocity and the third component of initial vorticity could be arbitrarily large.