Constructs soliton clusters for the L²-critical Hartree equation that follow m-body dynamics and produce finite-time collision blow-up at prescribed points.
Expansive solutions with prescribed asymptotics of the classical $N$-body problem
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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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math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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On soliton clusters and collision blow up for the $L^2$-critical Hartree equation
Constructs soliton clusters for the L²-critical Hartree equation that follow m-body dynamics and produce finite-time collision blow-up at prescribed points.