The aggregation equation with Newtonian potential
Analysis of PDEs
2016-08-05 v1
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.
Keywords
Cite
@article{arxiv.1608.01348,
title = {The aggregation equation with Newtonian potential},
author = {Elaine Cozzi and Gung-Min Gie and James P Kelliher},
journal= {arXiv preprint arXiv:1608.01348},
year = {2016}
}