Aggregation Equation with Growing at Infinity Attractive-repulsive Potentials

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Aggregation Equation with Growing at Infinity Attractive-repulsive Potentials

Book Chapter (2012)

Author(s)

D. Balagué Guardia (Universitat Autònoma de Barcelona)

Jose Antonio Carrillo (Universitat Autònoma de Barcelona)

Aggregation equation

DOI related publication

https://doi.org/10.1142/9789814417099_0010 Final published version

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https://resolver.tudelft.nl/uuid:45ef3d57-a2d5-4d9d-b9ac-1e0c3fec6d83

More Info

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Publication Year

2012

Language

English

Volume number

1-2

Pages (from-to)

136-147

ISBN (print)

9814417068

Downloads counter

117

Abstract

In this paper, we consider the aggregation equation and global in time solutions for this equation when the potential is radially symmetric, attractive-repulsive with possible polynomial growth at infinity and the initial data is compactly supported. We will discuss certain aspects of the existence of nonsingular steady states of the equation for these type of potentials based on numerical results in the radially symmetric case.