4 papers
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 solut…
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…
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…