45 citations · 108 across the 31 of their papers we have counts for
6 papers · 1 filter
Studying ballistic aggregation phenomena through efficient Time Stepping approaches
Pierre Degond, Giacomo Dimarco, Marina Ferreira +1
This paper deals with the problem of simulating dense dispersed systems composed by large numbers of particles undergoing ballistic aggregation. The most classical approaches for d…
Topological travelling waves of a macroscopic swarmalator model in confined geometries
Pierre Degond, Antoine Diez
We investigate a new class of topological travelling-wave solutions for a macroscopipc swarmalator model involving force non-reciprocity. Swarmalators are systems of self-propelled…
Fiber crosslinking drives the emergence of order in a 3D dynamical network model
Pauline Chassonnery, Jenny Paupert, Anne Lorsignol +5
The Extra-Cellular-Matrix (ECM) is a complex interconnected 3D network that provides structural support for the cells and tissues and defines organ architecture key for their healt…
Macroscopic limit of a Fokker-Planck model of swarming rigid bodies
Pierre Degond, Amic Frouvelle
We consider self-propelled rigid-bodies interacting through local body-attitude alignment modelled by stochastic differential equations. We derive a hydrodynamic model of this syst…
A mathematical framework for modelling order book dynamics
Rama Cont, Pierre Degond, Lifan Xuan
We present a general framework for modelling the dynamics of limit order books, built on the combination of two modelling ingredients: the order flow, modelled as a general spatial…
Radial Laplacian on rotation groups
Pierre Degond
The Laplacian on the rotation group is invariant by conjugation. Hence, it maps class functions to class functions. A maximal torus consists of block diagonal matrices whose blocks…