4 citations · 10 across the 15 of their papers we have counts for
8 papers · 1 filter
Global well-posedness for the 2D stochastic hypoviscous Navier-Stokes equations
Daniel Goodair, Floris Roodenburg
We study stochastic hypoviscous Navier--Stokes equations on the torus with dissipation for and multiplicative noise. Relying on stochastic maximal r…
Anisotropic Inviscid Limit for the Navier-Stokes Equations with Transport Noise Between Two Plates
Daniel Goodair
We investigate an anisotropic vanishing viscosity limit of the 3D stochastic Navier-Stokes equations posed between two horizontal plates, with Dirichlet no-slip boundary condition.…
Itô-Stratonovich Conversion in Infinite Dimensions for Unbounded, Time-Dependent, Nonlinear Operators
Daniel Goodair
We prove that a solution, in a variational framework, to the Stratonovich stochastic partial differential equation with noise is given by a soluti…
Infinite Boundary Friction Limit for Weak Solutions of the Stochastic Navier-Stokes Equations
Daniel Goodair
We address convergence of the unique weak solutions of the 2D stochastic Navier-Stokes equations with Navier boundary conditions, as the boundary friction is taken uniformly to inf…
Navier-Stokes Equations with Navier Boundary Conditions and Stochastic Lie Transport: Well-Posedness and Inviscid Limit
Daniel Goodair
We prove the existence and uniqueness of global, probabilistically strong, analytically strong solutions of the 2D Stochastic Navier-Stokes Equation under Navier boundary condition…
The Zero Viscosity Limit of Stochastic Navier-Stokes Flows
Daniel Goodair, Dan Crisan
We introduce an analogue to Kato's Criterion regarding the inviscid convergence of stochastic Navier-Stokes flows to the strong solution of the deterministic Euler equation. Our as…
Stochastic Calculus in Infinite Dimensions and SPDEs
Daniel Goodair
These notes rigorously construct the stochastic integral of a Hilbert Space valued process driven by a Cylindrical Brownian Motion. We expand upon this stochastic calculus to prese…
Existence and Uniqueness of Maximal Solutions to a 3D Navier-Stokes Equation with Stochastic Lie Transport
Daniel Goodair
We present here a criterion to conclude that an abstract SPDE posseses a unique maximal strong solution, which we apply to a three dimensional Stochastic Navier-Stokes Equation. In…