World's Best Scientists 2026 revealed!
Jean-Michel Coron

Jean-Michel Coron

D-Index & Metrics

Mathematics

D-Index
63
Citations
16499
World Ranking
439
National Ranking
19

Engineering and Technology

D-Index
62
Citations
16258
World Ranking
1873
National Ranking
25

Overview

Jean-Michel Coron is affiliated with Sorbonne University in France and is active in research spanning engineering and mathematics. Their work notably intersects several subfields including control and systems engineering, mathematical physics, computational theory and mathematics, applied mathematics, and computational mechanics.

The research topics covered by Jean-Michel Coron focus heavily on stability and controllability of differential equations, advanced mathematical physics problems, and mathematical modeling in engineering. Specific areas of study also involve Navier-Stokes equation solutions, quantum chaos and dynamical systems, computational fluid dynamics and aerodynamics, and advanced differential geometry research.

Co-authorship has involved collaboration with several frequent partners. These include Amaury Hayat and Hoài-Minh Nguyên, each with 11 joint publications, Shengquan Xiang with 9 coauthored works, Georges Bastin with 8, and Kala Agbo Bidi with 6.

Regular publication venues for this scientist reflect a consistent output in both preprint and peer-reviewed journals. Key venues include:

  • arXiv (Cornell University): 17 publications
  • Annales de l Institut Henri Poincaré C Analyse Non Linéaire: 3 publications
  • Comptes Rendus Mathématique: 3 publications
  • Journal of Differential Equations: 2 publications
  • SIAM Journal on Control and Optimization: 2 publications

Recent papers illustrate the focus on control theory and differential equations. These include:

  • Model Predictive Control, Cost Controllability, and Homogeneity, 2020, SIAM Journal on Control and Optimization
  • Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions, 2020, Journal of the European Mathematical Society
  • Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space, 2020, Journal of Differential Equations
  • Small-time global stabilization of the viscous Burgers equation with three scalar controls, 2021, Journal de Mathématiques Pures et Appliquées

Jean-Michel Coron has also contributed to book publications, including a title in the "Series in Contemporary Applied Mathematics" titled Control of Partial Differential Equations published in 2022.

Best Publications

  • Control and Nonlinearity

    Jean-Michel Coron

  • On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

    A. Bahri;J. M. Coron

  • Harmonic maps with defects

    Ha " i"m Brezis;Jean-Michel Coron;Elliott H. Lieb

  • Global asymptotic stabilization for controllable systems without drift

    Jean Michel Coron

  • Stability and Boundary Stabilization of 1-D Hyperbolic Systems

    Georges Bastin;Jean-Michel Coron

  • A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws

    J.-M. Coron;B. d'Andrea-Novel;G. Bastin

  • Convergence of solutions of H-systems or how to blow bubbles

    H. Brezis;H. Brezis;J. M. Coron;J. M. Coron

  • Boundary feedback control in networks of open channels

    J. De Halleux;C. Prieur;J. M. Coron;B. D'AndréA-Novel

  • The scalar-curvature problem on the standard three-dimensional sphere

    A Bahri;A Bahri;J.M Coron

  • Local exponential H2 stabilization of 2x2 quasilinear hyperbolic systems using backstepping

    Jean-Michel Coron;Rafael Vazquez;Miroslav Krstic;Georges Bastin

  • Multiple solutions of H‐systems and Rellich's conjecture

    Haïm Brezis;Jean‐Michel ‐M Coron

  • Adding an integrator for the stabilization problem

    Jean-Michel Coron;Lorent Praly

  • Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems

    Jean-Michel Coron;Georges Bastin;Brigitte d'Andréa-Novel

  • Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz

    Haïm Brézis;Haïm Brézis;Jean-Michel Coron;Louis Nirenberg

  • On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions

    Jean-Michel Coron

  • Brief Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach

    B. D' AndréA-Novel;J. M. Coron

  • Backstepping boundary stabilization and state estimation of a 2 × 2 linear hyperbolic system

    Rafael Vazquez;Miroslav Krstic;Jean-Michel Coron

  • Controllability of a quantum particle in a moving potential well

    Karine Beauchard;Jean-Michel Coron;Jean-Michel Coron

  • Brief paper: Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws

    Ababacar Diagne;Georges Bastin;Jean-Michel Coron

  • On the controllability of 2-D incompressible perfect fluids

    J.-M. Coron

  • Local exponential H 2 stabilization of a 2 × 2 quasilinear hyperbolic system using backstepping

    Rafael Vazquez;Jean-Michel Coron;Miroslav Krstic;Georges Bastin

  • Local exponential H^2 stabilization of a 2X2 quasilinear hyperbolic system using backstepping

    Jean-Michel Coron;Rafael Vazquez;Miroslav Krstic;Georges Bastin

Frequent Co-Authors

Georges Bastin
Georges Bastin Université Catholique de Louvain
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Emmanuel Trélat
Emmanuel Trélat Sorbonne University
Rafael Vazquez
Rafael Vazquez University of Seville
Lionel Rosier
Lionel Rosier PSL University
Miroslav Krstic
Miroslav Krstic University of California, San Diego
Andrey Polyakov
Andrey Polyakov French Institute for Research in Computer Science and Automation - INRIA
Laurent Praly
Laurent Praly Mines ParisTech
Pierre Rouchon
Pierre Rouchon Mines ParisTech
Lars Grüne
Lars Grüne University of Bayreuth

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