Title: Initial-boundary value problems in a rectangle for two-dimensional Zakharov-Kuznetsov equation,
Abstract: Initial-boundary value problems in a bounded rectangle with different types
of boundary conditions for two-dimensional Zakharov-Kuznetsov equation are
considered. Results on global well-posedness in the classes of weak and regular
solution are established. As applications of the developed technique results on
boundary controllability and long-time decay of weak solutions are also
obtained.