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arXiv · 1004.4021

Blow-up versus global existence of solutions to aggregation equations

Grzegorz Karch·Kanako Suzuki
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Abstract

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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Grzegorz Karch, Kanako Suzuki. 2010-04-22. Blow-up versus global existence of solutions to aggregation equations. https://arxiv.org/abs/1004.4021

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