Viscosity solutions and hyperbolic motions: a new PDE method for the \(N\)-body problem
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Publication:2206346
DOI10.4007/annals.2020.192.2.5zbMath1475.70018arXiv1908.09252OpenAlexW3083969778WikidataQ115482548 ScholiaQ115482548MaRDI QIDQ2206346
Andrea Venturelli, Ezequiel Maderna
Publication date: 22 October 2020
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.09252
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An index theory for collision, parabolic and hyperbolic solutions of the Newtonian \(n\)-body problem ⋮ On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields ⋮ Brake orbits fill the N-body Hill region ⋮ Towards weak KAM theory at relative equilibrium ⋮ Existence of hyperbolic motions to a class of Hamiltonians and generalized \(N\)-body system via a geometric approach ⋮ Resonance conjecture via weak KAM theory ⋮ Classical n-body scattering with long-range potentials ⋮ Geodesic rays of the \(N\)-body problem ⋮ Existence of partially hyperbolic motions in the 𝑁-body problem
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