On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier–Stokes equations
Open Access
- 6 December 2005
- journal article
- Published by The Royal Society in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 462 (2066), 459-479
- https://doi.org/10.1098/rspa.2005.1574
Abstract
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.This publication has 11 references indexed in Scilit:
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