An asymptotic expansion of a regularized Boussinesq system (Theoretically and Numerically)

by Ahmad Safa (IDP Tours)

Thursday Oct 2, 2025, 2:00 PM → 3:00 PM Europe/Paris

E2290 (Tours)

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.