Monday, June 3, 2024 - 14:30 in V2-210/216
From stochastic additive Zakharov system to stochastic multiplicative nonlinear Schrödinger equation
A talk in the Harmonic and Stochastic Analysis of Dispersive PDEs series by
Anne De Bouard from Ecole Polytechnique Palaiseau
| Abstract: |
We study the limit of a Zakharov system with an additive spatially correlated noise to a
multiplicative stochastic nonlinear Schrödinger equation, as the velocity of the ion density,
described by the wave equation, tends to infinity. Note that in this limit the evolution of the
energy becomes singular and the scaling is a diffusion-approximation regime, requiring the
use a predictor-corrector method. When considering only linear drift, we obtain a convergence
rate by using an expansion of the solution the Kolmogorov equation.
These are joint works with G. Barrué, A. Debussche and R. Nader (ENS Rennes).
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