45 citations · 101 across the 22 of their papers we have counts for
10 papers · 1 filter
Hyperbolicity and non-conservativity of a hydrodynamic model of swarming rigid bodies
Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno +1
In this paper, we study a nonlinear system of first order partial differential equations describing the macroscopic behavior of an ensemble of interacting self-propelled rigid bodi…
Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour
Pierre Degond, Sophie Hecht, Michèle Romanos +1
We introduce two 2D mechanical models reproducing the evolution of two viscous tissues in contact. Their main property is to model the swirling cell motions while keeping the tissu…
Large-scale dynamics of self-propelled particles moving through obstacles: model derivation and pattern formation
Pedro Aceves-Sanchez, Pierre Degond, Eric E. Keaveny +3
We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individ…
Phase transitions and macroscopic limits in a BGK model of body-attitude coordination
Pierre Degond, Antoine Diez, Amic Frouvelle +1
In this article we investigate the phase transition phenomena that occur in a model of self-organisation through body-attitude coordination. Here, the body-attitude of an agent is…
Hydrodynamic limits for kinetic flocking models of Cucker-Smale type
P. Aceves-Sánchez, M. Bostan, J. A. Carrillo +1
We analyse the asymptotic behavior for kinetic models describing the collective behavior of animal populations. We focus on models for self-propelled individuals, whose velocity re…
Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations
Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno +1
The goal of these lecture notes is to present in a unified way various models for the dynamics of aligning self-propelled rigid bodies at different scales and the links between the…