11 citations · 27 across the 8 of their papers we have counts for
8 papers
An improved Liouville type theorem for Beltrami flows
Na Wang, Zhibing Zhang
In this note, we improved the Liouville type theorem for the Beltrami flows. Two different methods are used to prove it. One is the monotonicity method, and the other is proof by c…
Solvability of an inhomogeneous boundary value problem for steady MHD equations
Zhibing Zhang, Chunyi Zhao
In this paper, we consider the steady MHD equations with inhomogeneous boundary conditions for the velocity and the tangential component of the magnetic field. Using a new construc…
Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system
Yong Zeng, Zhibing Zhang
Under the condition of small external forces, we obtain existence of a weak solution of the steady Hall-MHD system with Hölder continuous magnetic field. We also established regula…
Existence and Regularity of Weak Solutions for a Thermoelectric Model
Xing-Bin Pan, Zhibing Zhang
This paper concerns a time-independent thermoelectric model with two different boundary conditions. The model is a nonlinear coupled system of the Maxwell equations and an elliptic…
Comparison results for eigenvalues of curlcurl operator and Stokes operator
Zhibing Zhang
This paper mainly establishes comparison results for eigenvalues of $\curl\curl$ operator and Stokes operator. For three-dimensional simply connected bounded domains, the -th ei…
Applications of a formula on Beltrami flow
Yong Zeng, Zhibing Zhang
In this note, we obtain uniqueness results for Beltrami flow in both bounded and unbounded domain with nonempty boundary by establishing an elementary but useful formula involving…
Fractional integral operator for vector fields and its applications
Zhibing Zhang
This paper studies fractional integral operator for vector fields in weighted . Using the estimates on fractional integral operator and Stein-Weiss inequalities, we can give a…
Hardy-type inequalities for vector fields with the tangential components vanishing
Xingfei Xiang, Zhibing Zhang
This note studies the Hardy-type inequalities for vector fields with the norm of the $\curl$. In contrast to the well-known results in the whole space for the divergence-free…