An aggregation equation with a nonlocal flux

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URI: https://hdl.handle.net/10902/29605
ISSN: 0362-546X
ISSN: 1873-5215
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Autoría
Granero Belinchón, RafaelAutoridad Unican; Orive Illera, Rafael
Fecha
2014-10
Derechos
© 2014. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Publicado en
Nonlinear Analysis, 2014, 108, 260-274
Editorial
Elsevier
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Palabras clave
Patlak-Keller-Segel Model
Well-posedness
Blow-up
Simulation
Aggregation
Resumen/Abstract
In this paper we study an aggregation equation with a general nonlocal flux. We study the local well-posedness and some conditions ensuring global existence. We are also interested in the differences arising when the nonlinearity in the flux changes. Thus, we perform some numerics corresponding to different convexities for the nonlinearity in the equation.
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© 2014. This manuscript version is made available under the CC-BY-NC-ND 4.0 licenseExcepto si se señala otra cosa, la licencia del ítem se describe como © 2014. This manuscript version is made available under the CC-BY-NC-ND 4.0 license