Preprints.

Publications

• Didier Pilod, F. Valet, Dynamics of the collision of two nearly equal solitary waves for the Zakharov-Kuznetsov equation. Communications in Mathematical Physics,13 November 2024 , Vol 405, article number 287.  Arxiv.

• Didier Pilod, F. Valet, Asymptotic stability of a finite sum of solitary waves for the Zakharov-Kuznetsov equation. Nonlinearity, 20 August 2024, Volume 37, Number 10. Arxiv.

• Arnaud Eychenne, F. Valet. Strongly interacting solitary waves of fractional modified Korteweg-de Vries equation. Journal of Functional Analysis, December 2023, Vol 285, Issue 11. Hal. Arxiv.

• Arnaud Eychenne, F. Valet. Decay of solitary waves of fractional Korteweg-de Vries type equations. Journal of Differential Equations, August 2023, Vol 363, pp243-274. Arxiv.

• F. Valet, Asymptotic K-soliton-like solutions of the Zakharov-Kuznetsov type equations.  Transactions of the American Mathematical Society, Mai 2021, Vol 374, Number 5, pp3177-3213, Hal, Arxiv.

• Raphaël Côte, F. Valet, Polynomial growth of high Sobolev norms of solutions to the Zakharov-Kuznetsov equation. Communications on Pure and Applied Analysis, Mars 2021, Vol 3, Issue 3. Hal, Arxiv.

Research documents

• F. Valet, Collision of two solitary waves of ZK. Séminaire Laurent Schwartz — EDP et applications (2024-2025), Exposé no. 8, 14 p.

• Marie Houillon, Salih Ouchtout and F. Valet, Semaine d’études Mathématiques et Entreprise: étude statique et dynamique d’un problème d’empilement. 2018. Hal.