2000 character limit reached
Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain (1411.7307v1)
Published 26 Nov 2014 in math.AP
Abstract: 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 $H2$-norm for small initial data are proven.