Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip

Abstract

Initial-boundary value problems for the 2D Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip are considered. Spectral properties of a linearized operator and critical sizes of domains are studied. Exponential decay of regular solutions for the original nonlinear problems is proved.

Cited by in corpus (2)

• An initial-boundary value problem in a strip for a two-dimensional equation of Zakharov-Kuznetsov type
• The 2D Zakharov-Kuznetsov-Burgers equation on a strip