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

By Tomás Caraballo, José Real, Takeshi Taniguchi. Proceedings of the Royal Society A, 2006

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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.

Subfields: Applied Mathematics, Control and Systems Engineering, Finance

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