Séminaire d'analyse
An asymptotic expansion of a regularized Boussinesq system (Theoretically and Numerically)Ahmad Safa (IDP Tours)
Thursday 02 October 2025 14:00 - Tours - E2290
Résumé :
In fluid mechanics, the Boussinesq system is an approximation of the Euler equations for incompressible irrotational free surface flows. Many authors studied this system. One of them proved the existence and uniqueness of the solution to the regularized Boussineq system. We will prove theoretically the existence of an asymptotic expansion of this regularized solution with respect to the regularized parameter. Then, we will verify numerically this existence up to order 2.
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