stochastic-differential-equations

Chaotic mixing and the statistical properties of scalar turbulence

Sam Punshon-Smith / 2023-04-10

Passive scalar turbulence is the study of how a scalar quantity, such as temperature or salinity, is transported by an incompressible fluid. This process is modeled by the advection diffusion equation \[\begin{equation} \partial_tg_t + u_t\cdot\nabla g_t - \kappa \Delta g_t =…