Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain

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 $H^2$-norm for small initial data are proven.

Cited by in corpus (4)

• To one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation
• An initial-boundary value problem for three-dimensional Zakharov-Kuznetsov equation
• Generalized ZK Equation posed on a Half-Strip
• Critical 2D Zakharov-Kuznetsov equation posed on a half-strip