3 papers
math-ph2025
The Spear and the Ring: Emergent Structures in Magnetic Colloidal Suspensions
Raphaël Côte, Clémentine Courtès, Guillaume Ferrière +2
We study from a mathematical point of view the nanoparticle model of a magnetic colloid, presented by G. Klughertz. Our objective is to obtain properties of stable stationary struc…
math.AP2024
Existence and Uniqueness of Domain Walls for Notched Ferromagnetic Nanowires
Raphaël Côte, Clémentine Courtès, Guillaume Ferriere +2
In this article, we investigate a simple model of notched ferromagnetic nanowires using tools from calculus of variations and critical point theory. Specifically, we focus on the c…
math.OC2022
Reduced modelling and optimal control of epidemiological individual-based models with contact heterogeneity
C. Courtès, E. Franck, K. Lutz +2
Modelling epidemics via classical population-based models suffers from shortcomings that so-called individual-based models are able to overcome, as they are able to take heterogene…