5 papers
A symplectic dynamics approach to the spatial isosceles three-body problem
Xijun Hu, Lei Liu, Yuwei Ou +2
We study the spatial isosceles three-body problem from the perspective of Symplectic Dynamics. For certain choices of mass ratio, angular momentum, and energy, the dynamics on the…
The qualitative behavior at a vortex point for the Chern-Simon-Higgs equation
Jiayu Li, Lei Liu
In this paper, we study the qualitative behavior at a vortex blow-up point for Chern-Simon-Higgs equation. Roughly speaking, we will establish an energy identity at a each such poi…
The -convergence at the Neumann boundary for Liouville equations
Yuchen Bi, Jiayu Li, Lei Liu +1
In this paper, we study the blow-up analysis for a sequence of solutions to the Liouville type equation with exponential Neumann boundary condition. For interior case, i.e. the blo…
Equidistributed Closed Geodesics on Closed Finsler and Riemannian Surfaces
Hui Liu, Lei Liu
In this paper, we establish the existence of an equidistributed sequence of nondegenerate closed geodesics for generic Finsler, symmetric Finsler and Riemannian metrics on every cl…
Global Surfaces of Section and Periodic Orbits in The Spatial Isosceles Three Body Problem
Xijun Hu, Lei Liu, Yuwei Ou +1
We study the spatial isosceles three body problem, which is a system with two degrees of freedom after modulo the rotation symmetry. For certain choices of energy and angular momen…