H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 52 Citations 11,550 129 World Ranking 471 National Ranking 23
Engineering and Technology H-index 49 Citations 11,277 137 World Ranking 1567 National Ranking 25

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Control theory
  • Geometry

Jean-Michel Coron mainly investigates Mathematical analysis, Controllability, Boundary, Exponential stability and Partial differential equation. He has included themes like Acceleration and Nonlinear system in his Mathematical analysis study. Jean-Michel Coron focuses mostly in the field of Controllability, narrowing it down to topics relating to Control system and, in certain cases, Existential quantification.

His research investigates the connection with Boundary and areas like Interval which intersect with concerns in Diagonal and Linearization. His Exponential stability research is classified as research in Control theory. His Partial differential equation study incorporates themes from Metric, Dirichlet problem, Geometry, Curvature and Conjecture.

His most cited work include:

  • Control and Nonlinearity (622 citations)
  • On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain (604 citations)
  • Harmonic maps with defects (420 citations)

What are the main themes of his work throughout his whole career to date?

His primary scientific interests are in Mathematical analysis, Controllability, Control theory, Boundary and Nonlinear system. His study explores the link between Mathematical analysis and topics such as Exponential stability that cross with problems in Stability theory. Parabolic partial differential equation is closely connected to Null in his research, which is encompassed under the umbrella topic of Controllability.

His work in Control theory addresses subjects such as Conservation law, which are connected to disciplines such as Scalar. His Boundary research includes elements of Steady state and Heat equation. His work carried out in the field of Lyapunov function brings together such families of science as Hyperbolic partial differential equation and Lyapunov exponent.

He most often published in these fields:

  • Mathematical analysis (49.77%)
  • Controllability (35.29%)
  • Control theory (27.60%)

What were the highlights of his more recent work (between 2017-2021)?

  • Controllability (35.29%)
  • Mathematical analysis (49.77%)
  • Hyperbolic systems (14.03%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Controllability, Mathematical analysis, Hyperbolic systems, Boundary and Applied mathematics. His research integrates issues of Linearization, Boundary value problem, Model predictive control and One-dimensional space in his study of Controllability. His Mathematical analysis research incorporates elements of Arbitrarily large and Exponential stability, Nonlinear system.

His Boundary study integrates concerns from other disciplines, such as Burgers' equation, Control theory, Shallow water equations, Navier–Stokes equations and Domain. His study in the field of Control system also crosses realms of Nonholonomic system. His research in Applied mathematics intersects with topics in Partial differential equation and Inverse problem.

Between 2017 and 2021, his most popular works were:

  • On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space (22 citations)
  • Optimal Time for the Controllability of Linear Hyperbolic Systems in One-Dimensional Space (20 citations)
  • Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions (17 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Geometry
  • Control theory

His primary areas of investigation include Mathematical analysis, Hyperbolic systems, Controllability, Boundary value problem and One-dimensional space. His Mathematical analysis study frequently links to adjacent areas such as Exponential stability. His Controllability research incorporates themes from Euler equations, Bounded function and Boundary layer.

The various areas that Jean-Michel Coron examines in his Boundary value problem study include Boundary, Exponential function, Shock, Nonlinear system and Control-Lyapunov function. His Nonlinear system research is multidisciplinary, incorporating elements of Initial value problem and Dirichlet boundary condition. Jean-Michel Coron interconnects Null and Applied mathematics in the investigation of issues within One-dimensional space.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Control and Nonlinearity

Jean-Michel Coron.
(2009)

1179 Citations

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

A. Bahri;J. M. Coron.
Communications on Pure and Applied Mathematics (1988)

935 Citations

Global asymptotic stabilization for controllable systems without drift

Jean Michel Coron.
Mathematics of Control, Signals, and Systems (1992)

594 Citations

Harmonic maps with defects

Ha " i"m Brezis;Jean-Michel Coron;Elliott H. Lieb.
Communications in Mathematical Physics (1986)

572 Citations

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

H. Brezis;H. Brezis;J. M. Coron;J. M. Coron.
Archive for Rational Mechanics and Analysis (1985)

346 Citations

Stability and Boundary Stabilization of 1-D Hyperbolic Systems

Georges Bastin;Jean-Michel Coron.
(2016)

341 Citations

Multiple solutions of H‐systems and Rellich's conjecture

Haïm Brezis;Jean‐Michel ‐M Coron.
Communications on Pure and Applied Mathematics (1984)

321 Citations

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

A Bahri;A Bahri;J.M Coron.
Journal of Functional Analysis (1991)

321 Citations

Boundary feedback control in networks of open channels

J. De Halleux;C. Prieur;J. M. Coron;B. D'AndréA-Novel.
Automatica (2003)

317 Citations

Adding an integrator for the stabilization problem

Jean-Michel Coron;Lorent Praly.
Systems & Control Letters (1991)

305 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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