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Tìm kiếm theo: Chủ đề Faedo–Galerkin’s approximation

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    • Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms
    Tác giả : Sebastião Martins Siqueira, Cordeiro; Ducival Carvalho, Pereira; Carlos Alessandro da Costa, Baldez;  Người hướng dẫn: -;  Đồng tác giả: - (2022)

    This manuscript deals with a Timoshenko system with damping and source. The existence and stability of the solution are analyzed taking into account the competition of the internal damping versus the logarithmic source. We use the potential well theory. For initial data in the stability set created by the Nehari surface, the existence of global solutions is proved using Faedo–Galerkin’s approximation. The exponential decay is given by the Nakao theorem. A numerical approach is presented to illustrate the results obtained.