3 papers
math.AP2026
Global dynamics in the 3D pressureless Euler-Poisson system for ions
Lucas Ertzbischoff, Catalina Jurja, Klaus Widmayer
In this work we consider the pressureless Euler-Poisson system on describing ion dynamics, which is a common model in the study of cold plasma. We prove global regul…
math.AP2025
Stability analysis for active Brownian particle models
Michele Coti Zelati, Lucas Ertzbischoff, David Gerard-Varet
We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for…
math.AP2023
Hydrodynamic limit of multiscale viscoelastic models for rigid particle suspensions
Mitia Duerinckx, Lucas Ertzbischoff, Alexandre Girodroux-Lavigne +1
We study the multiscale viscoelastic Doi model for suspensions of Brownian rigid rod-like particles, as well as its generalization by Saintillan and Shelley for self-propelled part…