10 citations · 16 across the 9 of their papers we have counts for
10 papers
A Spectral-Based Method for Network-Formation PDEs
Pedro Aceves-Sanchez, Pierre Degond, Sara Merino-Aceituno +1
We propose and study a simple and scalable Fourier-based spectral method for a continuum model of network formation under periodic boundary conditions. The model provides the evolu…
Consensus-based optimization with -stable jump processes
Pedro Aceves-Sanchez, Giacomo Albi, Federica Ferrarese +1
In this paper, we introduce a novel variant of the CBO method that incorporates jumps according to an -stable stochastic process in a kinetic framework. This extension gives ris…
Pedestrian models with congestion effects
Pedro Aceves-Sanchez, Rafael Bailo, Pierre Degond +1
We study the validity of the dissipative Aw-Rascle system as a macroscopic model for pedestrian dynamics. The model uses a congestion term (a singular diffusion term) to enforce ca…
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…
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…
A new model for the emergence of blood capillary networks
P. Aceves-Sanchez, B. Aymard, D. Peurichard +5
We propose a new model for the emergence of blood capillary networks. We assimilate the tissue and extra cellular matrix as a porous medium, using Darcy's law for describing both b…
Fractional diffusion limit of a linear kinetic equation in a bounded domain
Pedro Aceves-Sanchez, Christian Schmeiser
A version of fractional diffusion on bounded domains, subject to 'homogeneous Dirichlet boundary conditions' is derived from a kinetic transport model with homogeneous inflow bound…
Fractional diffusion limit for a fractional Vlasov-Fokker-Planck equation
Pedro Aceves-Sanchez, Ludovic Cesbron
This paper is devoted to the rigorous derivation of the macroscopic limit of a Vlasov-Fokker-Planck equation in which the Laplacian is replaced by a fractional Laplacian. The evolu…
Asymptotic analysis of a Vlasov-Boltzmann equation with anomalous scaling
Pedro Aceves-Sanchez, Antoine Mellet
This paper is devoted to the approximation of the linear Boltzmann equation by fractional diffusion equations. Most existing results address this question when there is no external…
Fractional-diffusion-advection limit of a kinetic model
Pedro Aceves-Sanchez, Christian Schmeiser
A fractional diffusion equation with advection term is rigorously derived from a kinetic transport model with a linear turning operator, featuring a fat-tailed equilibrium distribu…