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- Peter Constantin

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
70
Citations
18,460
232
World Ranking
197
National Ranking
111

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

- Mathematical analysis
- Quantum mechanics
- Geometry

Mathematical analysis, Euler equations, Attractor, Turbulence and Nonlinear system are his primary areas of study. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Incompressible flow, Dissipation and Quasi-geostrophic equations, Dissipative system. His work carried out in the field of Euler equations brings together such families of science as Navier–Stokes equations, Inviscid flow, Pressure-correction method and Equations of motion.

His Navier–Stokes equations study combines topics from a wide range of disciplines, such as Reynolds-averaged Navier–Stokes equations and Variational principle, Classical mechanics. His research in Attractor intersects with topics in Dimension, Lyapunov exponent, Infinite set, Bounded function and Fractal. The Nonlinear system study combines topics in areas such as Tourbillon, Boundary, Contour dynamics and Mathematical physics.

- Navier-Stokes equations (1094 citations)
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar (584 citations)
- Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations (419 citations)

His main research concerns Mathematical analysis, Euler equations, Navier–Stokes equations, Classical mechanics and Nonlinear system. Peter Constantin does research in Mathematical analysis, focusing on Bounded function specifically. His Euler equations research incorporates themes from Mathematical physics, Singularity, Vorticity and Euler's formula.

His Navier–Stokes equations study integrates concerns from other disciplines, such as Fluid dynamics and Cauchy's integral formula. His research investigates the connection between Classical mechanics and topics such as Turbulence that intersect with issues in Incompressible flow and Attractor. The various areas that Peter Constantin examines in his Nonlinear system study include Fokker–Planck equation and Smoluchowski coagulation equation.

- Mathematical analysis (58.50%)
- Euler equations (21.77%)
- Navier–Stokes equations (17.69%)

- Mathematical analysis (58.50%)
- Bounded function (11.90%)
- Euler equations (21.77%)

Peter Constantin mainly focuses on Mathematical analysis, Bounded function, Euler equations, Inviscid flow and Compressibility. His Mathematical analysis research includes themes of Navier–Stokes equations, Dissipative system and Dissipation. Peter Constantin interconnects Strong solutions and Dirichlet distribution in the investigation of issues within Bounded function.

In Euler equations, Peter Constantin works on issues like Singularity, which are connected to Mathematical physics, Evolution equation, Pressure jump, Gravitational singularity and Scaling. His work deals with themes such as Vorticity, Norm, Surface, Limit and Weak solution, which intersect with Inviscid flow. He usually deals with Compressible flow and limits it to topics linked to Degenerate diffusion and Classical mechanics.

- Long Time Dynamics of Forced Critical SQG (85 citations)
- On the Muskat problem: Global in time results in 2D and 3D (74 citations)
- Global regularity for 2D Muskat equations with finite slope (58 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

His primary areas of investigation include Mathematical analysis, Bounded function, Euler equations, Inviscid flow and Dissipation. His research integrates issues of Navier–Stokes equations and Dissipative system in his study of Mathematical analysis. His Bounded function study incorporates themes from Fractal and Strong solutions.

The concepts of his Euler equations study are interwoven with issues in Flow, Elementary proof, Incompressible euler equations and GEOM. His study in Inviscid flow is interdisciplinary in nature, drawing from both Surface and Applied mathematics. His work in Dissipation covers topics such as Dirichlet laplacian which are related to areas like Lipschitz continuity, Square root and Partial differential equation.

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.

Navier-Stokes equations

Peter Constantin;Ciprian Foias.

**(1988)**

2348 Citations

Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

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

**(1988)**

808 Citations

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

P Constantin;A J Majda;E Tabak.

Nonlinearity **(1994)**

735 Citations

Attractors representing turbulent flows

P. Constantin;Ciprian Foiaş;Roger Temam.

**(1985)**

578 Citations

Local smoothing properties of dispersive equations

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

Journal of the American Mathematical Society **(1988)**

521 Citations

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

Peter Constantin;Weinan E;Edriss S. Titi.

Communications in Mathematical Physics **(1994)**

518 Citations

Behavior of solutions of 2D quasi-geostrophic equations

Peter Constantin;Jiahong Wu.

Siam Journal on Mathematical Analysis **(1999)**

407 Citations

Geometric statistics in turbulence

Peter Constantin.

Siam Review **(1994)**

363 Citations

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

Peter Constantin;Charles Fefferman;Andrew J. Majda.

Communications in Partial Differential Equations **(1996)**

356 Citations

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

Peter Constantin;C. Foias.

Communications on Pure and Applied Mathematics **(1985)**

311 Citations

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