Méthodes asymptotiques numériques pour les fluides visqueux incompressibles et la détection de la bifurcation de Hopf

Abstract : Perturbation methods (asymptotic expansions) are usually considered as powerful methods for solving many kinds of non-linear problems. However, these methods are very often apllied in a purely analytic framework, and the calculation is limited to the first few terms of the series. Since a few years, we have shown that the combination of perturbation techniques and finite element method can lead to a robust numerical method for some categories of non-linear problems. In this thesis, we aplly these techniques to compute branches of stationary solutions of Navier-Stokes equations and to detect stationary and Hopf bifurcation
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Abdeljalil Tri. Méthodes asymptotiques numériques pour les fluides visqueux incompressibles et la détection de la bifurcation de Hopf. Autre. Université Paul Verlaine - Metz, 1996. Français. ⟨NNT : 1996METZ051S⟩. ⟨tel-01777172⟩

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