Almost exponential decay of Benard convection problem without surface
tension
Lan Zeng
The Graduate School of China Academy of Engineering Physics
Author ProfileAbstract
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.