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arXiv · 2112.14095

Skeleton for the one-dimensional aggregation equation

Juan Carlos Cantero·Joan Orobitg
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Abstract

For the aggregation equation in $\mathbb{R}$, we consider the evolution of an initial density corresponding to the characteristic function of some set $Ω_0$. We study the limit measure at the blow up time 1 for $Ω_0$ open or compact and we inspect the limit set (skeleton) where this measure is supported.

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Juan Carlos Cantero, Joan Orobitg. 2022-03-18. Skeleton for the one-dimensional aggregation equation. https://arxiv.org/abs/2112.14095

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