Lagrangian Averaged Stochastic Advection by Lie Transport for Fluids
Lagrangian Averaged Stochastic Advection by Lie Transport for Fluids
Abstract We formulate a class of stochastic partial differential equations based on Kelvin’s circulation theorem for ideal fluids. In these models, the velocity field is randomly transported by white-noise vector fields, as well as by its own average over realizations of this noise. We call these systems the Lagrangian averaged …