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Mathematics

D-Index
49
Citations
8113
World Ranking
1161
National Ranking
58

Overview

Jean Dolbeault is affiliated with Paris Dauphine University in France and has a significant research record primarily within the field of Mathematics. Their work spans multiple subfields, including Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Statistical and Nonlinear Physics, and Control and Systems Engineering.

Dolbeault's research topics address complex areas such as Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering, Numerical methods in inverse problems, Gas Dynamics and Kinetic Theory, Spectral Theory in Mathematical Physics, Advanced Thermodynamics and Statistical Mechanics, and Stability and Controllability of Differential Equations.

Their recent scholarly output includes publications in reputable scientific journals and repositories. Notable recent papers include:

  • Social heterogeneity and the COVID-19 lockdown in a multi-group SEIR model, 2020, bioRxiv (Cold Spring Harbor Laboratory)
  • Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence, 2025, Cambridge Journal of Mathematics

Dolbeault has published extensively in venues such as arXiv (Cornell University), which hosts 21 of their papers, as well as Annales de l'Institut Henri Poincaré C Analyse Non Linéaire, Comptes Rendus Mathématique, Journal of Functional Analysis, and Archive for Rational Mechanics and Analysis.

Their frequent collaborators include researchers working in related mathematical and physical fields. These co-authors are:

  • Nikita Simonov
  • Maria J. Esteban
  • Émeric Bouin
  • Christian Schmeiser
  • Michael Loss

Dolbeault's work often explores sophisticated mathematical structures and theoretical approaches that interface with physical modeling and computational methods. This interdisciplinary engagement is reflected in their diverse publication topics and choice of academic forums.

Best Publications

  • Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions

    Adrien Blanchet;Jean Dolbeault;Benoit Perthame

  • Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions☆

    Manuel Del Pino;Jean Dolbeault

  • Hypocoercivity for linear kinetic equations conserving mass

    Jean Dolbeault;Clément Mouhot;Christian Schmeiser

  • Optimal critical mass in the two dimensional Keller–Segel model in R2

    Jean Dolbeault;Benoît Perthame

  • A new class of transport distances between measures

    Jean Dolbeault;Bruno Nazaret;Giuseppe Savaré

  • The optimal Euclidean Lp-Sobolev logarithmic inequality

    Manuel Del Pino;Jean Dolbeault

  • Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems

    Piotr Biler;Jean Dolbeault

  • Asymptotics of the Fast Diffusion Equation via Entropy Estimates

    Adrien Blanchet;Matteo Bonforte;Jean Dolbeault;Gabriele Grillo

  • A new class of transport distances

    Jean Dolbeault;Bruno Nazaret;Giuseppe Savare

  • On the eigenvalues of operators with gaps. Application to Dirac operators.

    Jean Dolbeault;Maria J. Esteban;Eric Séré

  • Hypocoercivity for kinetic equations with linear relaxation terms

    Jean Dolbeault;Clément Mouhot;Christian Schmeiser

  • On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials

    F. Bouchut;J. Dolbeault

  • Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities

    Matteo Bonforte;Jean Dolbeault;Gabriele Grillo;Juan-Luis Vázquez

  • The two-dimensional Keller-Segel model after blow-up

    Jean Dolbeault;Christian Schmeiser

  • The optimal Euclidean L p -Sobolev logarithmic inequality

    Manuel Del Pino;Jean Dolbeault

  • Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces

    Jean Dolbeault;Maria J. Esteban;Michael Loss

  • Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research

    A. Arnold;J. A. Carrillo;L. Desvillettes;J. Dolbeault

  • Large mass self-similar solutions of the parabolic–parabolic Keller–Segel model of chemotaxis

    Piotr Biler;Lucilla Corrias;Jean Dolbeault

  • "Bubble-tower" radial solutions in the slightly supercritical Brezis–Nirenberg problem

    Manuel Del Pino;Jean Dolbeault;Monica Musso

  • Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles

    J. Dolbeault

  • An analytical proof of Hardy-like inequalities related to the Dirac operator ?

    Jean Dolbeault;Maria J. Esteban;Michael Loss;Luis Vega

  • Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (Large time behavior and steady states)

    Jean Dolbeault

Frequent Co-Authors

Maria J. Esteban
Maria J. Esteban Paris Dauphine University
Michael Loss
Michael Loss Georgia Institute of Technology
Manuel del Pino
Manuel del Pino University of Bath
Christian Schmeiser
Christian Schmeiser University of Vienna
Patricio Felmer
Patricio Felmer University of Chile
Giuseppe Toscani
Giuseppe Toscani University of Pavia
Monica Musso
Monica Musso University of Bath
Gabriella Tarantello
Gabriella Tarantello University of Rome Tor Vergata
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology
Clément Mouhot
Clément Mouhot University of Cambridge

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