Renhui Wan

activity

20152023

most citedOn the uniqueness for the 2D MHD equations without magnetic diffusion

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.CA2023

Sharp maximal function estimates for Hilbert transforms along monomial curves in higher dimensions

Renhui Wan

For any nonempty set $U \subset R^{+}$ , we consider the maximal operator $\h^U$ defined as $\h^Uf=\sup_{u\in U}|H^{(u)} f|$, where $H^{(u)}$ represents the Hilbert transform along the…

math.CA2020

$L^{p}$ bound for the Hilbert transform along variable non-flat curves

Renhui Wan

We prove the $L^{p}$ bound for the Hilbert transform along variable non-flat curves $(t, u (x) [t]^{α} + v (x) [t]^{β})$ , where $α$ and $β$ satisfy $α \neq = β, α \neq = 1, β \neq = 1.$ Comparing with…

math.AP2015★ 2 cited

On the uniqueness for the 2D MHD equations without magnetic diffusion

Renhui Wan

In this paper, we obtain the uniqueness of the 2D MHD equations, which fills the gap of recent work \cite{1} by Chemin et al.

Sharp maximal function estimates for Hilbert transforms along monomial curves in higher dimensions

Lp bound for the Hilbert transform along variable non-flat curves

On the uniqueness for the 2D MHD equations without magnetic diffusion

$L^{p}$ bound for the Hilbert transform along variable non-flat curves