Self-similar blow-up for a reaction-diffusion system
The authors investigate a reaction-diffusion system which describes several phenomena in which aggregation plays a crucial role. They show that the system has radial solutions with finite mass which blow-up in finite time in a self-similar manner for the case of a 3-dimensional space, but no such solution exists in the 2-dimensional case.
scientific article; zbMATH DE number 1326416
scientific article