## Jean DOLBEAULT
Office B514 ter Université Paris Dauphine Place du Maréchal de Lattre de Tassigny F-75775 Paris Cedex 16 - France Tel. (33) 1 44 05 47 68 Fax. (33) 1 44 05 45 99 e-mail: dolbeaul@ceremade.dauphine.fr web: https://ceremade.dauphine.fr/~dolbeaul |

- A review on
*Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results*can be found here. Also see the slides. - A result on stability in Gagliardo-Nirenberg-Sobolev inequalities (with M. Bonforte, B. Nazaret and N. Simonov) which includes the case of Sobolev's inequality with
*constructive*estimates, with slides here. Also see the One World PDE Seminar (July 7, 2020) in the subcritical case, with slides here. - Covid-19: a paper on social heterogeneity and lockdown and a summary.
- In Fourier based
*L*hypocoercivity methods, how sharp are the decay estimates ? See this paper on the Goldstein-Taylor model and for simple collision operators.^{2} - Korn and related inequalities are well known tools for mechanics in bounded domains, but also play a role in kinetic equations. Weighted Korn and Poincaré-Korn inequalities also make sense in the Euclidean space for bounded measures.
- Critical magnetic field for 2d magnetic Dirac-Coulomb operators and Hardy inequalities can be found here.

- An introduction to some papers on magnetic interpolation inequalities, magnetic nonlinear Schrödinger equations and related symmetry issues
- An introduction to some recent advances on Phase transitions and symmetry in PDEs
- A short text of presentation of Symmetry and symmetry breaking issues by nonlinear flow methods
- A short text of presentation of Hypocoercivity methods

- Lecture notes on
*Fast diffusion, mean field drifts and reverse HLS inequalities*(Cogne, 3-7 June 2019) - Notes de cours sur les
*Méthodes d'entropie pour les EDP*(Tunis, 4-7 Février 2019) - Lecture notes on
*Symmetry and nonlinear diffusion flows*(*Prefalc project CFRRMA, Universidad de Chile, Santiago (Chile)*, October 10-18, 2017)

- Beyond mathematics: pictures of some mountains.

- Fondation Sciences Mathématiques de Paris
- A link to the project EFI (Entropy, flows, inequalities) ANR-17-CE40-0030 (1/1/2018-31/12/2021)