Expansive solutions with prescribed asymptotics of the classical $N$-body problem

Yutong Wu

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arXiv · 2606.11509

Expansive solutions with prescribed asymptotics of the classical $N$-body problem

Yutong Wu

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Abstract

We consider the classical $N$-body problem with the $\frac{1}{|x|^p}$-type potential, where $p>0$. We construct hyperbolic, parabolic and hyperbolic-parabolic solutions with prescribed asymptotic data as $t \to+\infty$.

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Yutong Wu. 2026-06-09. Expansive solutions with prescribed asymptotics of the classical $N$-body problem. https://arxiv.org/abs/2606.11509

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