5 papers
Elastic localization in finite structures: assessment of the infinite-domain approximation and validity of weakly nonlinear analysis
Xiang Yu
A common approach to studying elastic localization is to pose the problem on an infinite domain, avoiding explicit treatment of the end conditions. For a finite structure, this app…
Symbolic Computations of the Two-Colored Diagrams for Central Configurations of the Planar N-vortex Problem
Xiang Yu, Shuqiang Zhu
We apply the singular sequence method to investigate the finiteness problem for stationary configurations of the planar N-vortex problem. The initial step of the singular sequence…
Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem
Xiang Yu, Shuqiang Zhu
We apply the singular sequence method to investigate the finiteness problem for stationary configurations of the planar five-vortex problem. The initial step of the singular sequen…
Finiteness of Stationary Configurations of the Planar Four-vortex Problem. II
Xiang Yu
In an earlier paper \cite{yu2021Finiteness}, we showed that there are finitely many stationary configurations (consisting of equilibria, rigidly translating configurations, relativ…
On Finiteness of Stationary Configurations of the Planar Five-vortex Problem
Xiang Yu, Shuqiang Zhu
The finiteness problem of stationary configurations for the planar five-vortex problem is considered in this paper. The numbers of equilibria and rigidly translating configurations…