2026 Peter Constantin: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	76	194	161	113	89	250	21362

Research.com Recognitions

2026 - Research.com Mathematics in United States Leader Award
2025 - Research.com Mathematics in United States Leader Award
2013 - Fellow of the American Mathematical Society
2010 - Fellow of the American Academy of Arts and Sciences
2010 - SIAM Fellow For contributions to the mathematical analysis of nonlinear partial differential equations, fluid dynamics, and turbulence.
1986 - Fellow of Alfred P. Sloan Foundation

Overview

Peter Constantin is a researcher affiliated with Princeton University in the United States, specializing in Mathematics and Engineering. Their work broadly covers areas related to fluid mechanics, partial differential equations, and mathematical physics.

The main fields of study for this researcher include:

Mathematics
Engineering

Their subfields of expertise can be detailed as:

Applied Mathematics
Computational Mechanics
Mathematical Physics
Control and Systems Engineering
Computational Theory and Mathematics

Research topics frequently addressed by this individual consist of:

Navier-Stokes equation solutions
Fluid Dynamics and Turbulent Flows
Stability and Controllability of Differential Equations
Advanced Mathematical Physics Problems
Advanced Mathematical Modeling in Engineering
Computational Fluid Dynamics and Aerodynamics
Nonlinear Partial Differential Equations

Peter Constantin's recent papers include:

Flexibility and Rigidity in Steady Fluid Motion, 2021, Communications in Mathematical Physics
High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation, 2020, Journal of Evolution Equations
Magnetic Relaxation of a Voigt-MHD System, 2023, Communications in Mathematical Physics
Flexibility and rigidity of free boundary MHD equilibria, 2022, Nonlinearity
High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation, 2020, arXiv (Cornell University)

The most frequent publication venues where this researcher has contributed are:

arXiv (Cornell University)
Communications in Mathematical Physics
Communications on Pure and Applied Mathematics
Notices of the American Mathematical Society
Journal of Evolution Equations

Frequent collaborators include:

Mihaela Ignatova
Theodore D. Drivas
Daniel Ginsberg
Jiahong Wu
Jiefeng Zhao

Among book publications, this researcher has authored a volume published by Springer Nature titled Progress in Mathematical Fluid Dynamics in 2020.

The researcher has been recognized by several fellowships and awards, including:

Fellow of the American Mathematical Society, 2013
SIAM Fellow, 2010, for contributions to the mathematical analysis of nonlinear partial differential equations, fluid dynamics, and turbulence
Fellow of the American Academy of Arts and Sciences, 2010
Fellow of Alfred P. Sloan Foundation, 1986

Best Publications

Navier-Stokes equations

Peter Constantin;Ciprian Foias

2525
Citations
Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

P. Constantin;C. Foias;B. Nicolaenko;R. Teman

849
Citations
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar

P Constantin;A J Majda;E Tabak

832
Citations
Onsager's conjecture on the energy conservation for solutions of Euler's equation

Peter Constantin;Weinan E;Edriss S. Titi

662
Citations
Attractors representing turbulent flows

P. Constantin;Ciprian Foiaş;Roger Temam

595
Citations
Local smoothing properties of dispersive equations

Peter Constantin;Peter Constantin;J. C. Saut;J. C. Saut

545
Citations
Behavior of solutions of 2D quasi-geostrophic equations

Peter Constantin;Jiahong Wu

469
Citations
Geometric statistics in turbulence

Peter Constantin

379
Citations
Geometric constraints on potentially singular solutions for the 3-D Euler equations

Peter Constantin;Charles Fefferman;Andrew J. Majda

371
Citations
Nonlinear maximum principles for dissipative linear nonlocal operators and applications

Peter Constantin;Vlad Vicol

348
Citations
Energy conservation and Onsager's conjecture for the Euler equations

A Cheskidov;P Constantin;S Friedlander;R Shvydkoy

346
Citations
A simple one-dimensional model for the three-dimensional vorticity equation

P. Constantin;P. D. Lax;A. Majda

342
Citations
Global Lyapunov Exponents, Kaplan-Yorke Formulas and the Dimension of the Attractors for 2D Navier-Stokes Equations

Peter Constantin;C. Foias

327
Citations
Global regularity for vortex patches

A. L. Bertozzi;P. Constantin

325
Citations
Energy dissipation in shear driven turbulence.

Charles R. Doering;Peter Constantin

312
Citations
Diffusion and mixing in fluid flow

Peter Constantin;Alexander Kiselev;Lenya Ryzhik;Andrej Zlatoš

298
Citations
Variational bounds on energy dissipation in incompressible flows. III. Convection

Charles R. Doering;Peter Constantin

291
Citations
Determining modes and fractal dimension of turbulent flows

P. Constantin;C. Foias;O. P. Manley;R. Temam

288
Citations
On the dimension of the attractors in two-dimensional turbulence

P. Constantin;C. Foias;R. Temam

284
Citations
On the critical dissipative quasi-geostrophic equation

Peter Constantin;Diego Cordoba;Jiahong Wu

280
Citations

Frequent Co-Authors

Ciprian Foias Texas A&M University

Jiahong Wu University of Notre Dame

Vlad Vicol Courant Institute of Mathematical Sciences

Edriss S. Titi Texas A&M University

Charles R. Doering University of Michigan–Ann Arbor

Dongho Chae Chung-Ang University

Lenya Ryzhik Stanford University

Alexander Kiselev Duke University

Roger Temam Indiana University

Diego Córdoba Institute of Mathematical Sciences

External Links

Personal website of Peter Constantin Google Scholar page

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