On local energy decay for large solutions of the Zakharov-Kuznetsov equation
On local energy decay for large solutions of the Zakharov-Kuznetsov equation
We consider the Zakharov-Kutznesov (ZK) equation posed in Rd, with d = 2 and 3. Both equations are globally well-posed in L2(Rd). In this article, we prove local energy decay of global solutions: if u(t) is a solution to ZK with data in L2(Rd), then lim inft→∞∫Ωd(t)u2(x,t)dx=0,for suitable regions of …