Date/heure
6 octobre 2026
10:45 - 11:45
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Yvonne ALAMA-BRONSARD
Catégorie d'évènement Séminaire Équations aux Derivées Partielles et Applications (Nancy)
Résumé
We introduce a new approach for solving the Benjamin—Ono equation as well as other integrable PDEs, based upon recent theoretical breakthroughs on explicit formulas for these equations. It opens the way to numerical approximations which are far more accurate and efficient for simulating these equations, allowing for the study of the asymptotic behavior of the solutions, with applications to the soliton resolution conjecture and in wave kinetic theory. Moreover, by perturbing these integrability techniques we obtain efficient schemes for numerically solving a class of PDEs including the Intermediate Long Wave equation, as well as equations which aren’t necessarily integrable.