James Coe

collaborators

2 papers

math.PR2025

Quasi-Gaussianity of the 2D stochastic Navier-Stokes equations

James Coe, Martin Hairer, Leonardo Tolomeo

We study the qualitative properties of solutions to the 2D stochastic Navier-Stokes equations with forcing that is white in time and coloured in space. Our main result shows that t…

math.AP2024

Sharp quasi-invariance threshold for the cubic SzegÅ equation

James Coe, Leonardo Tolomeo

We consider the 1-dimensional cubic SzegÅ equation with data distributed according to the Gaussian measure with inverse covariance operator $(1 - \partial_{x}^{2})^{\frac{s}{2}}$ , where $s>\…

Quasi-Gaussianity of the 2D stochastic Navier-Stokes equations

Sharp quasi-invariance threshold for the cubic SzegÅ equation

Sharp quasi-invariance threshold for the cubic SzegÅ equation