arXiv:1004.4021 Abstract | arXiv Analytics

arXiv:1004.4021 [math.AP]Abstract References Reviews Resources

Blow-up versus global existence of solutions to aggregation equations

Published 2010-04-22Version 1

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.

Categories: math.AP

Subjects: 35K55, 35B40

Keywords: aggregation equations, global existence, transport equations describing aggregation phenomena, viscous transport equations describing aggregation, nonlinear viscous transport equations

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