Aggregation Equation with Growing at Infinity Attractive-repulsive Potentials

Balagué Guardia, D.; Carrillo, Jose Antonio

Aggregation Equation with Growing at Infinity Attractive-repulsive Potentials

Book chapter (2012)

Authors

D. Balagué Guardia Universitat Autònoma de Barcelona

Jose Antonio Carrillo Universitat Autònoma de Barcelona

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Aggregation equation

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Published Date

2012

Language

English

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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.