Non-linear noise excitation and intermittency under high disorder
Non-linear noise excitation and intermittency under high disorder
Consider the semilinear heat equation $\partial _t u = \partial ^2_x u + \lambda \sigma (u)\xi$ on the interval $[0 ,L]$ with Dirichlet zero-boundary condition and a nice non-random initial function, where the forcing $\xi$ is space-time white noise and $\lambda >0$ denotes the level of the noise. We show …