8 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AP2021★ 1 cited
Dissipation enhancement of planar helical flows and applications to three-dimensional Kuramoto-Sivashinsky and Keller-Segel equations
Yuanyuan Feng, Binbin Shi, Weike Wang
We introduce the planar helical flows on three dimensional torus and study the dissipation enhancement of such flows. We then use such flows as transport flows to solve the three d…
math.AP2020★ 8 cited
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection
Yuanyuan Feng, Anna L. Mazzucato
We study the Kuramoto-Sivashinsky equation (KSE) in scalar form on the two-dimensional torus with and without advection by an incompressible vector field. We prove local existence…
math.PR2018★ 3 cited
Semi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations
Yuanyuan Feng, Lei Li, Jian-Guo Liu
We study the Markov semigroups for two important algorithms from machine learning: stochastic gradient descent (SGD) and online principal component analysis (PCA). We investigate t…