2 papers
math.AP2017
Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion
Razvan C. Fetecau, Mitchell Kovacic, Ihsan Topaloglu
We consider an aggregation model with nonlinear diffusion in domains with boundaries and investigate the zero diffusion limit of its solutions. We establish the convergence of weak…
nlin.PS2016
Swarm equilibria in domains with boundaries
Razvan C. Fetecau, Mitchell Kovacic
We study equilibria in domains with boundaries for a first-order aggregation model that includes social interactions and exogenous forces. Such equilibrium solutions can be connect…