17 citations · 43 across the 41 of their papers we have counts for
12 papers · 1 filter
Nonplanar Periodic Solutions for Spatial Restricted 3-Body and 4-Body Problems
Xiaoxiao Zhao, Shiqing Zhang
In this paper, we study the existence of non-planar periodic solutions for the following spatial restricted 3-body and 4-body problems: for , given any masses $m_{1},...,…
Infinitely Many Periodic Solutions for Some N-Body Type Problems with Fixed Energies
Pengfei Yuan, Shiqing Zhang
In this paper, we apply the Ljusternik-Schnirelman theory with local Palais-Smale condition to study a class of N-body problems with strong force potentials and fixed energies. Und…
Existence of Hyperbolic Orbits for N-body Type Problems
Donglun Wu, Shiqing Zhang
In this paper, we use variational minimizing method to prove the existence of hyperbolic solution with a prescribed positive energy for N-body type problems with strong forces. Fir…
Nonplanar Periodic Solutions for Spatial Restricted N+1-Body Problems
Fengying Li, Shiqing Zhang, Xiaoxiao Zhao
We use variational minimizing methods to study spatial restricted N+1-body problems with a zero mass moving on the vertical axis of the moving plane for N equal masses. We prove th…
Hyperbolic Orbits for Restricted Three-body Problems with Fixed Energy
Donglun Wu, Shiqing Zhang
The existence of hyperbolic orbits is proved for a class of restricted three-body problems with a fixed energy by taking limit for a sequence of periodic solutions which are obtain…
Variational Minimizing Parabolic Orbits for the 2-Fixed Center Problems
Ying Lv, Shiqing Zhang
Using variational minimizing methods,we prove the existence of an odd symmetric parabolic orbit for the 2-fixed center problems with weak force type homogeneous potentials.
Planar Symmetric Concave Central Configurations in Four-body Problem
Chunhua Deng, Shiqing Zhang
In this paper, we consider the problem: given a symmetric concave configuration of four bodies, under what conditions is it possible to choose positive masses which make it central…
6-Body Central Configurations Formed by Two Isosceles Triangles
Furong Zhao, Shiqing Zhang
In this paper,we show the existence of a class of 6-body central configurations with two isosceles triangles; which are congruent to each other and keep some distance.We also study…
Hyperbolic Orbits for a Class of Singular Hamiltonian Systems with Repulsive Potentials
Donglun Wu, Shiqing Zhang
The existence of hyperbolic orbits is proved for a class of singular Hamiltonian systems with repulsive potentials by taking limit for a sequence of periodic solutions which are th…
A New Boundary Scheme for BGK Model
Wang Peng, Zhang Shiqing
In this paper, we proposed a new boundary condition scheme for the BGK model which has second order accuracy and can be developed to higher accuracy. Numerical tests show that the…
Stacked Central Configurations for Newtonian N+4-Body Problems
Furong Zhao, Shiqing Zhang
In this paper,we study spatial central configurations where N bodies are at the vertices of a regular N-gon and the other 4 bodies are symmetrically located on the straight lin…
Parabolic Orbits for a Class of Singular Hamiltonian Systems with a Fixed Energy
Donglun Wu, Shiqing Zhang
The existence of parabolic orbits is obtained for a class of singular Hamiltonian systems by taking limit for a sequence of non-collision periodic so…