loading page

Almost exponential decay of Benard convection problem without surface tension
  • Binqiang Xie,
  • Lan Zeng
Binqiang Xie
Institute of Applied Physics and Computational Mathematics
Author Profile
Lan Zeng
The Graduate School of China Academy of Engineering Physics
Author Profile

Abstract

We consider the dynamics of an Boussinesq approximation Benard convection uid evolving in a three-dimensional domain bounded below by a xed atten boundary and above by a free moving surface. The domain is horizontally periodic and the eect of the surface tension is neglected on the free surface. By developing a priori estimates for the model, we prove the global existence and almost exponential decay of solutions in the framework of high regularity.