Well-posedness for a model of individual clustering
25 pagesInternational audienceWe study the well-posedness of a model of individual clustering. Given p > N ≥ 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
steady state, global existence, compactness method, Elliptic system, local existence, compactness method., [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Publisher: 'American Institute of Mathematical Sciences (AIMS)'
DOI identifier: 10.3934/dcdsb.2013.18.2647