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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Resum

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.

Títol traduït de la contribució	Skeleton para la ecuación de la agregación unidimensional
Idioma original	Anglès
Número d’article	17
Nombre de pàgines	9
Revista	Analysis and Mathematical Physics
Volum	13
Número	1
DOIs	https://doi.org/10.1007/s13324-023-00780-3
Estat de la publicació	Publicada - 28 de gen. 2023

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10.1007/s13324-023-00780-3

https://ddd.uab.cat/record/270819

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

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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",

year = "2023",

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day = "28",

doi = "10.1007/s13324-023-00780-3",

language = "English",

volume = "13",

journal = "Analysis and Mathematical Physics",

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AU - Cantero Guardeño, Juan Carlos

AU - Orobitg Huguet, Joan

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N2 - 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.

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

U2 - 10.1007/s13324-023-00780-3

DO - 10.1007/s13324-023-00780-3

M3 - Article

SN - 1664-2368

VL - 13

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

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Skeleton for the one-dimensional aggregation equation

Resum

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