| Abstract: |
| In this talk, I will discuss recent results on the stability of waves for two examples of stochastic partial differential equations. The first example is the FitzHugh-Nagumo equation driven by additive noise, for which stable traveling pulse solutions in the deterministic case exist. The second example is the parametrically forced nonlinear Schroedinger equation (PFNLS) driven by multiplicative noise, allowing for stable bright solitary waves if the noise is zero. I will discuss how the deterministic stability results can be lifted to the stochastic setting, leading to a phase correction due to noise meeting a stochastic ordinary differential equation. |
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