Two-dimensional individual clustering model

Elissar Nasreddine

doi:10.3934/dcdss.2014.7.307

Article Contents

2014, Volume 7, Issue 2: 307-316. Doi: 10.3934/dcdss.2014.7.307

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Two-dimensional individual clustering model

Elissar Nasreddine^1,

1.
Institut de Mathématiques de Toulouse, Université de Toulouse, F-31062 Toulouse cedex 9

Received: January 31, 2013

Revised: March 31, 2013

Published: March 2014

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Abstract

This paper is devoted to study a model of individual clustering with two specific reproduction rates in two space dimensions. Given $q>2$ and an initial condition in $W^{1,q}(\Omega)$, the local existence and uniqueness of solution have been shown in [6]. In this paper we give a detailed proof of existence of global solution.

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Mathematics Subject Classification: Primary: 35K20, 35B40, 35M33, 35J47, 35Q92.

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References

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