Shock structure due to stochastic forcing and the time reversal of nonlinear waves
Andre Nachbin | Fouque, Jean-Pierre | Garnier, Josselin
nonlinear waves | inhomogeneous media | viscous shock | time reversal
This paper is concerned with the study of the deformation of a nonlinear pulse traveling in a random medium. We consider shallow water waves with a spatially random depth. We demonstrate that in the presence of properly scaled stochastic forcing the solution to the nonlinear conservation law is regularized leading to a viscous shock profile. This enables us to perform time-reversal experiments beyond the critical time for shock formation.