Skeleton for the one-dimensional aggregation equation

Juan Carlos Cantero Guardeño; Joan Orobitg Huguet

doi:10.1007/s13324-023-00780-3

Skeleton for the one-dimensional aggregation equation

Juan Carlos Cantero Guardeño, Joan Orobitg Huguet

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Abstract

For the aggregation equation in R, we consider the evolution of an initial density corresponding to the characteristic function of some set Ω0. We study the limit measure at the blow up time 1 for Ω0
open or compact and we inspect the limit set (skeleton) where this measure is supported.

Translated title of the contribution	Skeleton para la ecuación de la agregación unidimensional
Original language	English
Article number	17
Number of pages	9
Journal	Analysis and Mathematical Physics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/s13324-023-00780-3
Publication status	Published - 28 Jan 2023

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title = "Skeleton for the one-dimensional aggregation equation",

abstract = "For the aggregation equation in R, we consider the evolution of an initial density corresponding to the characteristic function of some set Ω0. We study the limit measure at the blow up time 1 for Ω0 open or compact and we inspect the limit set (skeleton) where this measure is supported.",

keywords = "PDEs",

author = "{Cantero Guarde{\~n}o}, {Juan Carlos} and {Orobitg Huguet}, Joan",

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AB - For the aggregation equation in R, we consider the evolution of an initial density corresponding to the characteristic function of some set Ω0. We study the limit measure at the blow up time 1 for Ω0 open or compact and we inspect the limit set (skeleton) where this measure is supported.

KW - PDEs

UR - https://doi.org/10.48550/arXiv.2112.14095

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JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

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Skeleton for the one-dimensional aggregation equation

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