On the stabilization of $L^2$ and $H^1$ norms for the Zakharov-Kuznetsov equation with damping

Mykael Cardoso, Gleison do N. Santos, Roger P. de Moura

In this paper we establish exponential decay results for solutions of the damped $n$-dimensional Zakharov--Kuznetsov equation for $2\le n\le 3$. More precisely, we prove the expo…