Finite-Time Transition to Intermittency for a Stochastic Heat Equation Driven by the Square of a Gaussian Field

Philippe Mounaix

In this paper, we study the spatial behavior of the solution $\psi (x,t)$ to the stochastic heat equation ${\partial }_t\psi (x,t)-\frac{1}{2}{\partial }_{x^2}^2\psi (x,t)=gS(x,t{)}^2\psi (x,t)$, w…