4 citations · 10 across the 15 of their papers we have counts for
7 papers · 1 filter
Ekman Boundary Layers Under Transport Noise
Daniel Goodair, Szymon Sobczak
We consider a 3D rotating Navier-Stokes equation with transport-stretching noise, posed between two horizontal plates, and study the joint limit of vanishing vertical viscosity and…
Closed Estimates of Leray Projected Transport Noise and Strong Solutions of the Stochastic Euler Equations
Daniel Goodair
We consider the incompressible Euler and Navier-Stokes equations on the three dimensional torus, in velocity form, perturbed by a transport or transport-stretching Stratonovich noi…
High Order Smoothness for Stochastic Navier-Stokes Equations with Transport and Stretching Noise on Bounded Domains
Daniel Goodair
We obtain energy estimates for a transport and stretching noise under Leray Projection on a 2D bounded convex domain, in Sobolev Spaces of arbitrarily high order. The estimates are…
Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs
Daniel Goodair
We extend recent existence and uniqueness results for maximal solutions of SPDEs through an improved blow-up criterion. Whilst the maximal time of existence is typically characteri…
Weak and Strong Solutions to Nonlinear SPDEs with Unbounded Noise
Daniel Goodair
We introduce an extended variational framework for nonlinear SPDEs with unbounded noise, defining three different solution types of increasing strength along with criteria to estab…
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…
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…