معرفی
Jean Dolbeault is a Professor at the Université Paris Dauphine, affiliated with the CEREMADE research center (UMR CNRS 7534). His primary role involves research and teaching in mathematical analysis, with a focus on partial differential equations (PDEs), functional inequalities, and their applications in physics and biology. He holds a permanent academic position and actively participates in international conferences, workshops, and collaborative projects.
His research interests span stability estimates for functional inequalities (e.g., Sobolev, Gagliardo-Nirenberg, and Hardy-Littlewood-Sobolev inequalities), entropy methods, hypocoercivity, and nonlinear diffusions. He has made significant contributions to understanding symmetry properties of solutions to elliptic and parabolic PDEs, as well as their applications to chemotaxis models (e.g., Keller-Segel systems) and quantum mechanics (e.g., Dirac operators).
He has been involved in major collaborative projects, including the ANR-17-CE40-0030 (EFI: Entropy, Flows, Inequalities) and the ongoing ANR-23-CE40-0003 (Conviviality). His work frequently bridges pure and applied mathematics, with applications in kinetic theory, spectral analysis, and mathematical biology.
Recent activities include organizing workshops on functional inequalities (e.g., 2025 Workshop on Functional Inequalities at Paris-Dauphine), delivering lectures at institutions worldwide, and supervising doctoral and postdoctoral researchers. His research is characterized by rigorous analytical methods and interdisciplinary impact.
