20 citations · 72 across the 16 of their papers we have counts for
17 papers
Dynamics near Couette flow for the -plane equation
Luqi Wang, Zhifei Zhang, Hao Zhu
In this paper, we study stationary structures near the planar Couette flow in Sobolev spaces on a channel , and asymptotic behavior of Couette flow in Gevre…
The number of traveling wave families in a running water with Coriolis force
Zhiwu Lin, Dongyi Wei, Zhifei Zhang +1
In this paper, we study the number of traveling wave families near a shear flow under the influence of Coriolis force, where the traveling speeds lie outside the range of the flow…
On the -th Eigenvalue of Sturm-Liouville Problem and the Maslov Index
Xijun Hu, Lei Liu, Li Wu +1
In the previous papers \cite{HLWZ,KWZ}, the jump phenomena of the -th eigenvalue were completely characterized for Sturm-Liouville problems. In this paper, we show that the jump…
Discrete Sturm-Liouville problems: singularity of the -th eigenvalue with application to Atkinson type
Guojing Ren, Hao Zhu
In this paper, we characterize singularity of the -th eigenvalue of self-adjoint discrete Sturm-Liouville problems in any dimension. For a fixed Sturm-Liouville equation, we com…
Linear inviscid damping for the -plane equation
Dongyi Wei, Zhifei Zhang, Hao Zhu
In this paper, we study the linear inviscid damping for the linearized -plane equation around shear flows. We develop a new method to give the explicit decay rate of the velocit…
A note on eigenvalues of a class of singular continuous and discrete linear Hamiltonian systems
Hao Zhu
In this paper, we show that the analytic and geometric multiplicities of an eigenvalue of a class of singular linear Hamiltonian systems are equal, where both endpoints are in the…