94 citations · 142 across the 11 of their papers we have counts for
11 papers
Sharp maximal function estimates for Hilbert transforms along monomial curves in higher dimensions
Renhui Wan
For any nonempty set , we consider the maximal operator $\h^U$ defined as $\h^Uf=\sup_{u\in U}|H^{(u)} f|$, where represents the Hilbert transform along the…
estimates for Hilbert transform and maximal operator associated to variable polynomial
Renhui Wan
We investigate the Hilbert transform and the maximal operator along a class of variable non-flat polynomial curves with measurable , and prove uniform es…
bound for the Hilbert transform along variable non-flat curves
Renhui Wan
We prove the bound for the Hilbert transform along variable non-flat curves , where and satisfy Comparing with…
On the temporal decay for the 2D non-resistive incompressible MHD equations
Renhui Wan
Califano-Chiuderi \cite{CC} gave the numerical observation that the energy of the MHD equations is dissipated at a rate independent of the ohmic resistivity, which was first proved…
Global well-posedness for the 2D Boussinesq equations with a velocity damping term
Renhui Wan
In this paper, we prove global well-posedness of smooth solutions to the two-dimensional incompressible Boussinesq equations with only a velocity damping term when the initial data…
Ill-posedness for the 3D inhomogeneous Navier-Stokes equations in the critical Besov space near framework
Renhui Wan
We prove the ill-posedness for the 3D incompressible inhomogeneous Navier-stokes equations in critical Besov space. In particular, a norm inflation happens in finite time with the…
Global well-posedness to the subcritical Oldroyd-B type models in 2D
Renhui Wan
We prove the global well-posedness to the 2D Oldroyd-B type models with and satisfying or . By establishing the gradient esti…
Global well-posedness to the 3D incompressible MHD equations with a new class of large initial data
Renhui Wan
We obtain the global well-posedness to the 3D incompressible magnetohydrodynamics (MHD) equations in Besov space with negative index of regularity. Particularly, we can get the glo…
Global small solutions to a tropical climate model without thermal diffusion
Renhui Wan
We obtain the global well-posedness of classical solutions to a tropical climate model derived by Feireisl-Majda-Pauluis in \cite{FMP} with only the dissipation of the first barocl…
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.
Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
Dongho Chae, Renhui Wan, Jiahong Wu
The Hall-magnetohydrodynamics (Hall-MHD) equations, rigorously derived from kinetic models, are useful in describing many physical phenomena in geophysics and astrophysics. This pa…