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An initial-boundary value in a strip with homogeneous Dirichlet boundaryconditions for two-dimensional Zakharov-Kuznetsov-Burgers equation isconsidered. Results on global well-posedness and long-time decay of solutionsin Sobolev spaces are established.

An initial-boundary value problem in a strip for two-dimensional Zakharov-Kuznetsov-Burgers equation