Estimates for the asymptotic expansion of a viscous fluid satisfying Navier's law on a rugous boundary

Casado Díaz, JuanLuna Laynez, ManuelSuárez Grau, Francisco Javier2025-07-232025-07-2320111099-1476https://hdl.handle.net/11441/175573In a previous paper, we have studied the asymptotic behavior of a viscous fluid satisfying Navier's law on a periodic rugous boundary of period ε and amplitude δε, with δε/ε tending to zero. In the critical size, δε∼ε3/2, in order to obtain a strong approximation of the velocity and the pressure it is necessary to consider a boundary layer term in the corresponding ansatz. The purpose of this paper is to estimate the approximation given by this ansatz.application/pdf9engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Estimates for the asymptotic expansion of a viscous fluid satisfying Navier's law on a rugous boundaryinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1002/mma.1456