Abstract
The purpose of this paper is to study the asymptotic behavior of a viscous fluid satisfying Navier’s condition on a slightly rough boundary. We consider the case of a fluid contained in a domain that has height 1 and the case of a fluid contained in a domain of small height \(\epsilon \). In both cases we show that three different behaviors are possible.
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Acknowledgements
This work has been partially supported by the projects MTM2008-00306/MTM of the “Ministerio de Ciencia e Innovación" and FQM309 of the “Junta de Andalucía".
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Casado-Díaz, J., Luna-Laynez, M., Suárez-Grau, F.J. (2011). Asymptotic Behavior of a Viscous Fluid Near a Rough Boundary. In: Clavero, C., Gracia, J., Lisbona, F. (eds) BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods. Lecture Notes in Computational Science and Engineering, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19665-2_7
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DOI: https://doi.org/10.1007/978-3-642-19665-2_7
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