3 citations · 3 across the 3 of their papers we have counts for
4 papers
Three-dimensional stationary incompressible inhomogeneous Navier-Stokes equation in the axially symmetric case
Zihui He
We show the existence of (a class of) weak solutions to the three-dimensional stationary incompressible inhomogeneous Navier--Stokes equations with density-dependent viscosity coef…
Turbulent cascades for a family of damped Szegö equations
Patrick Gérard, Sandrine Grellier, Zihui He
In this paper, we study the transfer of energy from low to high frequencies for a family of damped Szegö equations. The cubic Szegö equation has been introduced as a toy model for…
On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusions in general Sobolev spaces
Zihui He, Xian Liao
We study the existence, uniqueness as well as regularity issues for the two-dimensional incompressible Boussinesq equations with temperature-dependent thermal and viscosity diffusi…
Solvability of the two-dimensional stationary incompressible inhomogeneous Navier-Stokes equations with variable viscosity coefficient
Zihui He, Xian Liao
We show the existence and the regularity properties of the weak solutions to the two-dimensional stationary incompressible inhomogeneous Navier-Stokes equations with variable visco…