Herrero, Miguel A.Medina Reus, ElenaVelázquez, J.J. L.2023-06-202023-06-201997-110951-771510.1088/0951-7715/10/6/016https://hdl.handle.net/20.500.14352/57672We consider the following system: [GRAPHICS] which has been used as a model for various phenomena, including motion of species by chemotaxis and equilibrium of self-attracting clusters. We show that, in space dimension N = 3, (S) possess radial solutions that blow-up in a finite time. The asymptotic behaviour of such solutions is analysed in detail. In particular, we obtain that the profile of any such solution consists of an imploding, smoothed-out shock wave that collapses into a Dine mass when the singularity is formed. The differences between this type of behaviour and that known to occur for blowing-up solutions of (S) in the case N = 2 are also discussed.engjournal articlehttp://iopscience.iop.org/0951-7715/10/6/016http://iopscience.iop.orgrestricted access517.956.4539.2ChemotaxisequationssingularitiesclustersEcuaciones diferenciales1202.07 Ecuaciones en Diferencias