论文标题
通过汉密尔顿 - 雅各比方程方法的N体问题，力势弱
A N-body problem with weak force potential through Hamilton-Jacobi equation approach
论文作者
论文摘要
我们考虑了潜在的1/Rα（0 <α<1）的N体问题的本文。对于任何规定的极限形状和身体的任何给定的初始构型，都存在双曲线运动。这里是欧几里得空间，身体移动，是内部产物引起的范围。运动的能量水平H> 0也可以任意选择。我们为汉密尔顿 - 雅各比方程H（x，dxu）= h和GeoDesics使用全局粘度解决方案。
This paper we consider for the N-body problem with potential 1/rα (0 < α < 1) the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration of the bodies. Here E is the Euclidean space where the bodies moving and is the norm induced by the inner product. The energy level h > 0 of the motion can also be chosen arbitrarily. We use the global viscosity solutions for the Hamilton-Jacobi equation H (x, dxu) = h and geodesics.
