Existence of partially hyperbolic motions in the 𝑁-body problem

DOI10.1090/proc/15778zbMath1485.70009arXiv2008.08762OpenAlexW3158073541WikidataQ115546067 ScholiaQ115546067MaRDI QIDQ5027214

Juan Manuel Burgos

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08762

zbMATH Keywords

Hamilton-Jacobi equation\(N\)-body problemsaction minimizing orbit

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) (n)-body problems (70F10) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Related Items (1)

Geodesic rays of the \(N\)-body problem

Cites Work

• On the final evolution of the n-body problem
• How the method of minimization of action avoids singularities
• On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
• Viscosity solutions and hyperbolic motions: a new PDE method for the \(N\)-body problem
• Unnamed Item

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