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math.AP2022★ 2 cited
On the Navier-Stokes Equations with Stochastic Lie Transport
Daniel Goodair, Dan Crisan
We prove the existence and uniqueness of maximal solutions to the 3D SALT (Stochastic Advection by Lie Transport, [Holm arXiv:1410.8311]) Navier-Stokes Equation in velocity and vor…
math.AP2022★ 1 cited
Existence and Uniqueness of Maximal Solutions to SPDEs with Applications to Viscous Fluid Equations
Daniel Goodair, Dan Crisan, Oana Lang
We present two criteria to conclude that a stochastic partial differential equation (SPDE) posseses a unique maximal strong solution. This paper provides the full details of the ab…