4 papers
Splitting methods for Intermediate Long Wave and perturbed Benjamin--Ono models
Yvonne Alama Bronsard, Clémentine Courtès, Benjamin Melinand
Recently, novel integrability techniques, and most notably Birkhoff coordinates followed by an explicit formula, have been introduced to solve the Benjamin--Ono (BO) equation, lead…
Neural non-canonical Hamiltonian dynamics for long-time simulations
Clémentine Courtès, Emmanuel Franck, Michael Kraus +2
This work focuses on learning non-canonical Hamiltonian dynamics from data, where long-term predictions require the preservation of structure both in the learned model and in numer…
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…
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…