| Abstract: |
| I will present a stochastic interpretation of the Water Waves equations, based on the LU formulation of the irrotational Euler s equations, which typically involves transport noises. The model itself is derived first, then the associated shallow water type models are formally inferred by neglecting some terms the limit of vanishing aspect ratios. Next, I will introduce some numerical schemes associated to the models above, which are intermediate between the deterministic 4th Runge Kutta method and a stochastic Euler Heun method. Eventually, some numerical simulations will be shown to assess the properties of these stochastic wave models. |
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