Aggregation Equation with Growing at Infinity Attractive-repulsive Potentials

D. Balagué Guardia, Jose Antonio Carrillo

Research output: Chapter in Book/Conference proceedings/Edited volumeChapterScientificpeer-review

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.
Original languageEnglish
Title of host publicationHyperbolic Problems
Subtitle of host publicationTheory, Numerics and Applications
Pages136-147
Volume1-2
DOIs
Publication statusPublished - 2012
Externally publishedYes

Publication series

NameSeries in Contemporary Applied Mathematics
Volume17-18

Keywords

  • Aggregation equation

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