Well-posedness for a model of individual clustering

Elissar Nasreddine

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arXiv · 1211.2969

Well-posedness for a model of individual clustering

Elissar Nasreddine

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Abstract

We study the well-posedness of a model of individual clustering. Given p > N \geq 1 and an initial condition in W 1,p (Ω), the local existence and uniqueness of a strong solution is proved. We next consider two specific reproduction rates and show global existence if N = 1, as well as, the convergence to steady states for one of these rates.

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Elissar Nasreddine. 2012-11-13. Well-posedness for a model of individual clustering. https://arxiv.org/abs/1211.2969

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