Small divisor problems in Fluid Mechanics. In memory of Klaus Kirchgässner

Abstract : Several small divisor problems occuring in Fluid Mechanics are presented. Two of them come from water waves: 3D periodic travelling gravity waves, and 2D standing gravity waves. The last example comes from quasipatterns observed for thin viscous horizontal fluid layers periodically vertically shaked (Faraday type experiment).
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Gérard Iooss. Small divisor problems in Fluid Mechanics. In memory of Klaus Kirchgässner. Journal of Dynamics and Differential Equations, Springer Verlag, 2015, 27 (3), pp.14. ⟨10.1007/s10884-013-9317-2⟩. ⟨hal-01265177⟩

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