Two-dimensional individual clustering model

Elissar Nasreddine (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

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 (Ω), 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.

Mots clés: Globale existence; individual clustering; reproduction rates; elliptic system; a priori estimates

Domaines: Equations aux dérivées partielles [math.AP]

Elissar Nasreddine. Two-dimensional individual clustering model. Discrete and Continuous Dynamical Systems - Series S, 2014, vol. 7 (2), pp.307-316. ⟨10.3934/dcdss.2014.7.307⟩. ⟨hal-00783676⟩