Blow-up versus global existence of solutions to aggregation equations

Details Blow-up versus global existence of solutions to aggregation equations Blow-up versus global existence of solutions to aggregation equations

2010-04-22

arxiv.org/abs/1004.4021v1

Mathematics

Analysis of PDEs

Scientific paper

A class of nonlinear viscous transport equations describing aggregation
phenomena in biology is considered. Optimal conditions on an interaction
potential are obtained which lead either to the existence or to the
nonexistence of global-in-time solutions.

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