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In this work we consider the Cauchy problem associated to nonlinear and dissipative Benjamin-Bona-Mahony equation in a bounded domain with moving boundary. We prove the existence and uniqueness of global solution and study the asymptotic behavior of the solution. We use the Faedo-Galerkin method, multiplier techniques, energy estimates and compactness for the results.

Estabilidade da Solução da Equação Dissipativa de Benjamin-Bona-Mahony em Domínio com Fronteira Móvel