I’m currently a Post-doctoral Associate at New York University Abu Dhabi, working with Taoufik Hmidi.
Previously, I held a position as a Temporary Teaching and Research Assistant (ATER) at Laboratoire AGM, CY Cergy Paris Université. Before that, I completed my PhD thesis, entitled “Fractional diffusion for kinetic equations” at Laboratoire Jean-Alexandre Dieudonné, Université Côte d’Azur (Nice – France), under the supervision of Marjolaine Puel and the co-direction of Ivan Moyano.
My thesis focused on fractional diffusion limits for some kinetic models, such as the Fokker–Planck equation and the linear Boltzmann equation, particularly in cases with heavy-tailed equilibria. In a secondary study, I investigated the propagation of Gevrey regularity and analyticity for solutions of the Vlasov–Navier–Stokes (VNS) system.
Contact
Department of Mathematics – New York University Abu Dhabi
Saadiyat Island, P.O. Box 129188, Abu Dhabi (United Arab Emirates)
Contact me at dahmane.dechicha@nyu.edu
Here are some links where you can find my preprints and publications: arXiv, ResearchGate, Google Scholar, MathSciNet.