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 $\ddot{I}ˆ(x,t)$ to the stochastic heat equation $\partial_tψ(x,t)-\frac{1}{2}\partial^2_{x^2} ψ(x,t)=g\, S(x,t)^2\, ψ(x,t)…