On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier-Stokes equations

摘要

We prove the existence and uniqueness of solutions for a stochastic version of the three-dimensional Lagrangian averaged Navier-Stokes equation in a bounded domain. To this end, we previously prove some existence and uniqueness results for an abstract stochastic equation and justify that our model falls within this framework.