114 citations · 200 across the 11 of their papers we have counts for
14 papers
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…
How environment affects active particle swarms: a case study
Pierre Degond, Angelika Manhart, Sara Merino-Aceituno +2
We investigate the collective motion of self-propelled agents in an environment filled with obstacles that are tethered to fixed positions via springs. The active particles are abl…
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…
Continuum and thermodynamic limits for a simple random-exchange model
Bertram Düring, Nicos Georgiou, Sara Merino-Aceituno +1
We discuss various limits of a simple random exchange model that can be used for the distribution of wealth. We start from a discrete state space - discrete time version of this mo…
Nematic alignment of self-propelled particles in the macroscopic regime
Pierre Degond, Sara Merino-Aceituno
Starting from a particle model describing self-propelled particles interacting through nematic alignment, we derive a macroscopic model for the particle density and mean direction…
Layer-by-layer growth of complex-shaped three-dimensional nanostructures with focused electron beams
L. Skoric, D. Sanz-Hernández, F. Meng +3
The fabrication of three-dimensional (3D) nanostructures is of great interest to many areas of nanotechnology currently challenged by fundamental limitations of conventional lithog…
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…
Coupled Self-Organized Hydrodynamics and Stokes models for suspensions of active particles
Pierre Degond, Sara Merino-Aceituno, Fabien Vergnet +1
We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek-Stokes system. The Vicsek model describes self-propelled agents inter…
Continuum dynamics of the intention field under weakly cohesive social interactions
Pierre Degond, Jian-Guo Liu, Sara Merino-Aceituno +1
We investigate the long-time dynamics of an opinion formation model inspired by a work by Borghesi, Bouchaud and Jensen. Firstly, we derive a Fokker-Planck type equation under the…
A new flocking model through body attitude coordination
Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno
We present a new model for multi-agent dynamics where each agent is described by its position and body attitude: agents travel at a constant speed in a given direction and their bo…
Isotropic Wave Turbulence with simplified kernels: existence, uniqueness and mean-field limit for a class of instantaneous coagulation-fragmentation processes
Sara Merino-Aceituno
The isotropic 4-wave kinetic equation is considered in its weak formulation using model (simplified) homogeneous kernels. Existence and uniqueness of solutions is proven in a parti…
From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight
Marc Briant, Sara Merino-Aceituno, Clément Mouhot
We study the Boltzmann equation on the -dimensional torus in a perturbative setting around a global equilibrium under the Navier-Stokes linearisation. We use a recent functional…
Anomalous energy transport in FPU- chain
Antoine Mellet, Sara Merino-Aceituno
This paper is devoted to the derivation of a macroscopic fractional diffusion equation describing heat transport in an anharmonic chain. More precisely, we study here the so-called…
Kinetic derivation of fractional Stokes and Stokes-Fourier systems
Sabine Hittmeir, Sara Merino-Aceituno
In recent works it has been demonstrated that using an appropriate rescaling, linear Boltzmann-type equations give rise to a scalar fractional diffusion equation in the limit of a…