We formulate on a half-strip an initial boundary value problem for the Zakharov-Kuznetsov equation. Existence and uniqueness of a regular solution as well as the exponential decay rate of small solutions as t → ∞ are proven.
We formulate in a half-strip an initial boundary value problem for the Zakharov-Kuznetsov equation. Assuming the existence of a regular global solution, we prove an exponential decay for small initial data.
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