1 citations · 1 across the 6 of their papers we have counts for
6 papers
Navier-Stokes with a fractional transport noise as a limit of multi-scale dynamics
Xue-Mei Li, Szymon Sobczak
We define a bona fide rough path solution for the Navier-Stokes equation with an additional rough transport term, and show that the SPDE on the three-dimensional torus driven by a…
Fluctuations from a random fractional averaging limit
Xue-Mei Li, Colin Piernot, Szymon Sobczak +1
We consider a system of multiscale stochastic differential equations whose slow component is drivenby a fractional Brownian motion with Hurst parameter H greater than 1/2. Under er…
Stochastic nonlinear wave equation with rougher than white noise
Xue-Mei Li, Xianfeng Ren
We study the singular stochastic wave equation on , with a cubic nonlinearity and Gaussian rough Matérn forcing (a Fourier multiplier of order applied to space-t…
Strong completeness of SDEs and non-explosion for RDEs with coefficients having unbounded derivatives
Xue-Mei Li, Kexing Ying
We establish a non-explosion result for rough differential equations (RDEs) in which the noise and drift coefficients, together with their derivatives, may grow unboundedly at infi…
Coarse extrinsic curvature of Riemannian submanifolds
Marc Arnaudon, Xue-Mei Li, Benedikt Petko
We introduce a novel concept of coarse extrinsic curvature for Riemannian submanifolds, inspired by Ollivier's notion of coarse Ricci curvature. This curvature is derived from the…
Bounded and Harmonic Forms on Universal Covers
K. D. Elworthy, Xue-Mei Li, Steven Rosenberg
We relate the positivity of the curvature term in the Weitzenbock formula for the Laplacian on p-forms on a complete manifold to the existence of bounded and harmonic forms.…