Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on   a bounded domain
  An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on bounded domains is considered. Existence and uniqueness of a global regular solution as well as exponential decay of the $H^2$-norm for small initial data are proven. 
Nikolai Larkin
math.AP