14 citations · 34 across the 24 of their papers we have counts for
4 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-…
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…
Suppression of epitaxial thin film growth by mixing
Yu Feng, Bingyang Hu, Xiaoqian Xu
We consider following fourth-order parabolic equation with gradient nonlinearity on the two-dimensional torus with and without advection of an incompressible vector field in the ca…