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An initial-boundary value problem in a strip for two-dimensional Zakharov-Kuznetsov-Burgers equation. (English) Zbl 1309.35107

Summary: An initial-boundary value problem in a strip with homogeneous Dirichlet boundary conditions for two-dimensional Zakharov-Kuznetsov-Burgers equation is considered. Results on global well-posedness and large-time decay of solutions in the spaces \(H^s\) for \(s \in [0, 2]\) are established.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35D30 Weak solutions to PDEs
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