27 citations · 74 across the 21 of their papers we have counts for
12 papers · 1 filter
Energy and helicity conservation for the generalized quasi-geostrophic equation
Yanqing Wang, Yulin Ye, Huan Yu
In this paper, we consider the 2-D generalized surface quasi-geostrophic equation with the velocity determined by . It is shown that the ty…
Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density
Yulin Ye, Yanqing Wang, Huan Yu
In this paper, we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navie…
The role of density in the energy conservation for the isentropic compressible Euler equations
Yanqing Wang, Yulin Ye, Huan Yu
In this paper, we study Onsager's conjecture on the energy conservation for the isentropic compressible Euler equations via establishing the energy conservation criterion involving…
Local Well-posedness of Two Dimensional SQG Equation and Related Models
Huan Yu, Wanwan Zhang
In this paper, we present a new and elementary proof of the local existence and uniqueness of the classical solution to the Cauchy problem of the two-dimensional generalized surfac…
An Extension of Caldern-Zygmund type singular integral
Quansen Jiu, Dongsheng Li, Huan Yu
In this paper, we consider a kind of singular integral which can be viewed as an extension of the classical Caldern-Zygmund type singular integral. We establish an e…
-regularity criteria in Lorentz spaces to the 3D Navier-Stokes equations
Yanqing Wang, Wei Wei, Huan Yu
In this paper, we are concerned with regularity of suitable weak solutions of the 3D Navier-Stokes equations in Lorentz spaces. We obtain -regularity criteria in terms…
Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation
Quansen Jiu, Xiaoxiao Suo, Jiahong Wu +1
This paper examines the uniqueness of weak solutions to the d-dimensional magnetohydrodynamic (MHD) equations with the fractional dissipation and without the magnetic dif…
An Extension of Riesz Transform
Huan Yu, Quansen Jiu
In this paper, we consider the following singular integral \begin{equation*} T_jf(x)=K_j*f(x), K_j(x)=\frac{x_j}{|x|^{n+1-β}}, \end{equation*} where $x\in R^n, 0\le β<n, j=1,2,\cdo…
Remarks on well-posedness of the generalized surface quasi-geostrophic equation
Huan Yu, Xiaoxin Zheng, Quansen Jiu
In this paper, we are concerned with the Cauchy problem of the generalized surface quasi-geostrophic (SQG) equation in which the velocity field is expressed as , where $ω…
On the initial- and boundary-value problem for 2D micropolar equations with only angular velocity dissipation
Quansen Jiu, Jitao Liu, Jiahong Wu +1
This paper focuses on the initial- and boundary-value problem for the two-dimensional micropolar equations with only angular velocity dissipation in a smooth bounded domain. The ai…
Global well-posedness for axisymmetric MHD system with only vertical viscosity
Quansen Jiu, Huan Yu, Xiaoxin Zheng
In this paper, we are concerned with the global well-posedness of a tri-dimensional MHD system with only vertical viscosity in velocity equation for the large axisymmetric initial…
Decay of solutions to the three-dimensional generalized Navier-Stokes equations
Quansen Jiu, Huan Yu
In this paper, we first obtain the temporal decay estimates for weak solutions to the three dimensional generalized Navier-Stokes equations. Then, with these estimates at disposal,…