Global smooth solutions of 3-D Navier-Stokes-Korteweg equations with large initial data

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 the whole space and establish the global solutions to the tri-dimensional Navier-Stokes-Korteweg equations with a class of large initial data whose L-2 norm can be arbitrarily large.

Automated summary

In this paper, the Cauchy problem for the tri-dimensional compressible Navier-Stokes-Korteweg system is considered. The global solutions to the tri-dimensional Navier-Stokes-Korteweg equations are established with a specific choice on the Korteweg tensor in the whole space. These solutions are applicable to a class of large initial data whose L-2 norm can be arbitrarily large.