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arXiv · 1608.01348

The aggregation equation with Newtonian potential

Elaine Cozzi·Gung-Min Gie·James P Kelliher
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Abstract

The viscous and inviscid aggregation equation with Newtonian potential models a number of different physical systems, and has close analogs in 2D incompressible fluid mechanics. We consider a slight generalization of these equations in the whole space, establishing well-posedness and spatial decay of the viscous equations, and obtaining the convergence of viscous solutions to the inviscid solution as the viscosity goes to zero.

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Elaine Cozzi, Gung-Min Gie, James P Kelliher. 2016-08-03. The aggregation equation with Newtonian potential. https://arxiv.org/abs/1608.01348

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