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, 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.
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.
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.
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.
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Peter Constantin;Ciprian Foias.
Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
P. Constantin;C. Foias;B. Nicolaenko;R. Teman.
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
P Constantin;A J Majda;E Tabak.
Attractors representing turbulent flows
P. Constantin;Ciprian Foiaş;Roger Temam.
Local smoothing properties of dispersive equations
Peter Constantin;Peter Constantin;J. C. Saut;J. C. Saut.
Journal of the American Mathematical Society (1988)
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)
Behavior of solutions of 2D quasi-geostrophic equations
Peter Constantin;Jiahong Wu.
Siam Journal on Mathematical Analysis (1999)
Geometric statistics in turbulence
Siam Review (1994)
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)
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)
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