14 citations · 34 across the 24 of their papers we have counts for
5 papers · 1 filter
Global Existence for the unstable Cahn-Hilliard equation in 2D with a Shear Flow
Bingyang Hu, Dinghua Xu, Yeyu Zhang
In this paper, we study the advective unstable Cahn--Hilliard equation on with shear flow: \begin{equation*} \begin{cases} u_t+Av_1(y) \partial_x u+\varepsilon Δ^2 u=…
Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow
Yu Feng, Bingyang Hu, Xiaoqian Xu +1
In this paper, we consider the following non-local semi-linear parabolic equation with advection: for , \begin{equation*} \begin{cases} u_t+v \cdot \nabla u-…
Dyadic Carleson embedding and sparse domination of weighted composition operators on strictly pseudoconvex domains
Bingyang Hu, Zhenghui Huo
In this paper, we study the behavior of the weighted composition operators acting on Bergman spaces defined on strictly pseudoconvex domains via the sparse domination technique fro…
Dissipation enhancement for a degenerated parabolic equation
Yu Feng, Bingyang Hu, Xiaoqian Xu
In this paper, we quantitatively consider the enhanced-dissipation effect of the advection term to the parabolic -Laplacian equations. More precisely, we show the mixing propert…
A structure theorem on doubling measures with different bases
Theresa C. Anderson, Bingyang Hu
In this paper, we prove a structure theorem for the infinite union of -adic doubling measures via techniques which involve far numbers. Our approach extends the results of Wu in…