World's Best Scientists 2026 revealed!

Overview

Cyril Imbert is affiliated with the École Normale Supérieure in France. Their research is situated primarily within the field of Mathematics, having contributed to a total of 54 publications. Within this broad field, their work spans several subfields including Applied Mathematics, Mathematical Physics, Modeling and Simulation, Computational Theory and Mathematics, and Statistical and Nonlinear Physics.

The scientist's research interests cover a range of advanced mathematical topics. These include Gas Dynamics and Kinetic Theory, Numerical Methods in Inverse Problems, Mathematical Biology related to Tumor Growth, Nonlinear Partial Differential Equations, Navier-Stokes Equation Solutions, Advanced Mathematical Modeling in Engineering, and Advanced Mathematical Physics Problems.

Cyril Imbert has authored papers published in a variety of journals and venues. Frequent publication platforms include arXiv (Cornell University), where they have 10 publications, followed by the SIAM Journal on Mathematical Analysis with 2 publications. Other venues include the Journal of the American Mathematical Society, Annales Henri Lebesgue, and the Journal of the Institute of Mathematics of Jussieu.

Selected recent papers authored by Cyril Imbert are:

  • Global regularity estimates for the Boltzmann equation without cut-off (2021, Journal of the American Mathematical Society)
  • The Schauder estimate in kinetic theory with application to a toy nonlinear model (2021, Annales Henri Lebesgue)

They have also collaborated with other researchers in kinetic theory and related areas, including coauthors who have frequently worked with them. Notable frequent coauthors are Nicolas Forcadel, Régis Monneau, Luís Silvestre, François Golse, and Clément Mouhot.

Best Publications

  • Second-order elliptic integro-differential equations: viscosity solutions' theory revisited

    Guy Barles;Cyril Imbert

  • Fractal first-order partial differential equations

    Jérôme Droniou;Cyril Imbert

  • On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations

    Guy Barles;Emmanuel Chasseigne;Cyril Imbert

  • Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

    François Golse;Cyril Imbert;Alexis Vasseur

  • Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations

    Guy Barles;Emmanuel Chasseigne;Cyril Imbert

  • A Hamilton-Jacobi approach to junction problems and application to traffic flows

    Cyril Imbert;Régis Monneau;Hasnaa Zidani

  • C1,a regularity of solutions of some degenerate fully non-linear elliptic equations

    Cyril Imbert;Luis Silvestre

  • The Nonlocal Porous Medium Equation: Barenblatt Profiles and Other Weak Solutions

    Piotr Biler;Cyril Imbert;Grzegorz Karch

  • THE WEAK HARNACK INEQUALITY FOR THE BOLTZMANN EQUATION WITHOUT CUT-OFF

    Cyril Imbert;Luis Silvestre

  • Estimates on elliptic equations that hold only where the gradient is large

    Cyril Imbert;Luis Silvestre

  • Optimal Control under Stochastic Target Constraints

    Bruno Bouchard;Romuald Elie;Cyril Imbert

  • Lipschitz regularity of solutions for mixed integro-differential equations

    Guy Barles;Emmanuel Chasseigne;Adina Ciomaga;Cyril Imbert

  • A non-local regularization of first order Hamilton–Jacobi equations

    Cyril Imbert

  • An Introduction to Fully Nonlinear Parabolic Equations

    Cyril Imbert;Luis Silvestre

  • Level set approach for fractional mean curvature flows

    Cyril Imbert

  • Barenblatt profiles for a nonlocal porous medium equation

    Piotr Biler;Cyril Imbert;Grzegorz Karch

  • Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations

    Cyril Imbert

  • Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks

    Cyril Imbert;Régis Monneau

  • Homogenization of First Order Equations with (u/ε)-Periodic Hamiltonians Part II: Application to Dislocations Dynamics

    Cyril Imbert;Régis Monneau;Elisabeth Rouy

  • Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

    F Golse;Cyril Imbert;Clément Mouhot;Alexis Vasseur

Frequent Co-Authors

Luis Silvestre
Luis Silvestre University of Chicago
Clément Mouhot
Clément Mouhot University of Cambridge
Guy Barles
Guy Barles François Rabelais University
Grzegorz Karch
Grzegorz Karch University of Wrocław
Alexis F. Vasseur
Alexis F. Vasseur The University of Texas at Austin
Sylvia Serfaty
Sylvia Serfaty Courant Institute of Mathematical Sciences
Jérôme Droniou
Jérôme Droniou University of Montpellier
Panagiotis E. Souganidis
Panagiotis E. Souganidis University of Chicago

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