Busseman functions for the N-body problem

Abstract

We prove that the Busemann function of the parabolic homotetic motion for a minimal central coniguration of the N-body problem is a viscosity solution of the Hamilton-Jacobi equation and that its calibrating curves are asymptotic to the homotetic motion.

10 pages

References in corpus (3)

• Globally minimizing parabolic motions in the Newtonian N-body problem
• On weak KAM theory for N-body problems
• On the free time minimizers of the Newtonian N-body problem

Cited by in corpus (5)

• Free time minimizers for the planar three-body problem
• Geodesic rays of the $N$-body problem
• Generic uniqueness of the minimal Moulton central configuration
• Null Angular Momentum and Weak KAM Solutions of the Newtonian $N$-Body Problem
• Uniqueness of hyperbolic Busemann functions in the Newtonian N-body problem