Blow-up versus global existence of solutions to aggregation equations
Volume 38 / 2011
Applicationes Mathematicae 38 (2011), 243-258
MSC: 35K15, 35B40, 92C17.
DOI: 10.4064/am38-3-1
Abstract
A class of nonlinear viscous transport equations describing aggregation phenomena in biology is considered. General conditions on an interaction potential are obtained which lead either to the existence or to the nonexistence of global-in-time solutions.
