Lagrangian chaos and scalar advection in stochastic fluid mechanics
Lagrangian chaos and scalar advection in stochastic fluid mechanics
We study the Lagrangian flow associated to velocity fields arising from various models of stochastic fluid mechanics. We prove that in many circumstances, these flows are chaotic, that is, the top Lyapunov exponent is strictly positive ( almost surely , all particle trajectories are simultaneously exponentially sensitive with respect to …