Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion

Andrea L. Bertozzi; Dejan Slepčev

doi:10.3934/cpaa.2010.9.1617

Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion

Andrea L. Bertozzi, Dejan Slepčev

Research output: Contribution to journal › Article › peer-review

69 Citations (Scopus)

Abstract

We present an energy-methods-based proof of the existence and uniqueness of solutions of a nonlocal aggregation equation with degenerate diffusion. The equation we study is relevant to models of biological aggregation.

Original language	English
Pages (from-to)	1617-1637
Number of pages	21
Journal	Communications on Pure and Applied Analysis
Volume	9
Issue number	6
DOIs	https://doi.org/10.3934/cpaa.2010.9.1617
Publication status	Published - Nov 2010
Externally published	Yes

Keywords

Aggregation
Nonlocal interaction

Access to Document

10.3934/cpaa.2010.9.1617

https://arrow.tudublin.ie/scschmatart/132Licence: CC BY-NC-SA

Cite this

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title = "Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion",

abstract = "We present an energy-methods-based proof of the existence and uniqueness of solutions of a nonlocal aggregation equation with degenerate diffusion. The equation we study is relevant to models of biological aggregation.",

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AU - Slepčev, Dejan

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