6 citations · 15 across the 13 of their papers we have counts for
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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…
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…