246 citations · 1.2k across the 31 of their papers we have counts for
4 papers · 1 filter
The regularity of the boundary of a multidimensional aggregation patch
Andrea Bertozzi, John Garnett, Thomas Laurent +1
Let and let be the fundamental solution of the Laplace equation in We consider the aggregation equation $$ \frac{\partial ρ}{\partial t} + \operatorname{div…
Dimensionality of Local Minimizers of the Interaction Energy
D. Balagué, J. A. Carrillo, T. Laurent +1
In this work we consider local minimizers (in the topology of transport distances) of the interaction energy associated to a repulsive-attractive potential. We show how the imensio…
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations,
Andrea L. Bertozzi, John B. Garnett, Thomas Laurent
This paper studies the transport of a mass in by a flow field . We focus on kernels for for which the smooth den…
Nonlocal interactions by repulsive-attractive potentials: radial ins/stability
D. Balague, J. A. Carrillo, T. Laurent +1
In this paper, we investigate nonlocal interaction equations with repulsive-attractive radial potentials. Such equations describe the evolution of a continuum density of particles…