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Dynamic response of soft poroelastic bed to linear water waves -- a boundary layer correction approach - MaRDI portal

Dynamic response of soft poroelastic bed to linear water waves -- a boundary layer correction approach (Q2744207)

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scientific article; zbMATH DE number 1648804
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Dynamic response of soft poroelastic bed to linear water waves -- a boundary layer correction approach
scientific article; zbMATH DE number 1648804

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    9 September 2003
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    linear water waves
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    soft poroelastic bed
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    boundary layer correction
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    asymptotic expansion
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    perturbation
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    two small parameters
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    Dynamic response of soft poroelastic bed to linear water waves -- a boundary layer correction approach (English)
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    This work deals with the propagation of linear water waves over a soft poroelastic bed. Performing the analysis of length scales and orders of magnitude of physical variables, a perturbation development for the boundary layer correction, based on two small parameters, is proposed and solved. The solutions are carried out for the first and third kind of waves throughout the entire domain, while the second kind of wave, which disappears outside the boundary layer, is solved inside the boundary layer. The results are compared with existing solutions.
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