Peter Constantin

Q: What Schools Are Affiliated With Peter Constantin

Peter Constantin is affiliated with the following schools: University of Oxford, Princeton University, Hebrew University of Jerusalem, Stanford University, University of Chicago, University of Bucharest

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Peter Constantin

Mathematics

#6362

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#8826

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Measure Theory

#1296

World Rank

#1638

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Mathematics

Peter Constantin's Degrees

PhD Mathematics University of Bucharest

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Peter Constantin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar (1994) (711)
Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations (1988) (530)
Onsager's conjecture on the energy conservation for solutions of Euler's equation (1994) (516)
Local smoothing properties of dispersive equations (1988) (394)
Behavior of solutions of 2D quasi-geostrophic equations (1999) (382)
Attractors Representing Turbulent Flows (1985) (348)
Nonlinear maximum principles for dissipative linear nonlocal operators and applications (2011) (302)
Geometric Statistics in Turbulence (1994) (299)
Geometric constraints on potentially singular solutions for the 3-D Euler equations (1996) (287)
Energy conservation and Onsager's conjecture for the Euler equations (2007) (284)
A simple one-dimensional model for the three-dimensional vorticity equation (1985) (275)
Global regularity for vortex patches (1993) (246)
On the critical dissipative quasi-geostrophic equation (2001) (246)
On the Euler equations of incompressible fluids (2007) (244)
On the dimension of the attractors in two-dimensional turbulence (1988) (220)
Diffusion and mixing in fluid flow (2005) (216)
Global Lyapunov Exponents, Kaplan-Yorke Formulas and the Dimension of the Attractors for 2D Navier-Stokes Equations (1985) (214)
Determining modes and fractal dimension of turbulent flows (1985) (203)
Euler Equations, Navier-Stokes Equations and Turbulence (2006) (172)
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation (2007) (162)
Infinite Prandtl Number Convection (1999) (160)
Generalized surface quasi‐geostrophic equations with singular velocities (2011) (156)
A stochastic Lagrangian representation of the three‐dimensional incompressible Navier‐Stokes equations (2005) (150)
Diffusion, attraction and collapse (1999) (148)
On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation (1990) (147)
Global solutions for small data to the Hele-Shaw problem (1993) (134)
On the global existence for the Muskat problem (2010) (133)
Bulk Burning Rate in¶Passive–Reactive Diffusion (1999) (132)
Spectral barriers and inertial manifolds for dissipative partial differential equations (1989) (116)
Long Time Dynamics of Forced Critical SQG (2013) (115)
Global regularity for a modified critical dissipative quasi-geostrophic equation (2008) (113)
Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations (2007) (113)
An Eulerian-Lagrangian approach for incompressible fluids: Local theory (2000) (109)
Navier-Stokes equations and area of interfaces (1990) (108)
The Beltrami spectrum for incompressible fluid flows (1988) (107)
Inviscid limit for vortex patches (1995) (106)
Singular front formation in a model for quasigeostrophic flow (1994) (102)
Inviscid Models Generalizing the Two-dimensional Euler and the Surface Quasi-geostrophic Equations (2010) (102)
An Eulerian–Lagrangian Approach¶to the Navier–Stokes Equations (2000) (100)
Note on Global Regularity for Two-Dimensional Oldroyd-B Fluids with Diffusive Stress (2012) (93)
Nonlinear Fokker-Planck Navier-Stokes systems (2005) (88)
The inviscid limit for non-smooth vorticity (1996) (87)
Global Well-Posedness for a Smoluchowski Equation Coupled with Navier-Stokes Equations in 2D (2007) (83)
Asymptotic States of a Smoluchowski Equation (2004) (82)
On the Muskat problem: Global in time results in 2D and 3D (2013) (80)
Regularity of Coupled Two-Dimensional Nonlinear Fokker-Planck and Navier-Stokes Systems (2006) (78)
Some Open Problems and Research Directions in the Mathematical Study of Fluid Dynamics (2001) (76)
Nonsingular surface quasi-geostrophic flow (1998) (75)
Bounds for heat transport in a porous layer (1998) (74)
On upper bounds for infinite Prandtl number convection with or without rotation (2001) (71)
Global regularity for 2D Muskat equations with finite slope (2015) (71)
Heat transfer in convective turbulence (1996) (68)
Remarks on a Smoluchowski equation (2004) (66)
Local smoothing properties of Schrödinger equations (1989) (64)
Energy spectrum of quasigeostrophic turbulence. (2002) (64)
The Euler equations and nonlocal conservative Riccati equations (2000) (63)
Analytic study of shell models of turbulence (2005) (62)
Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations (2013) (62)
On the inviscid limit of the Navier-Stokes equations (2014) (60)
Flame enhancement and quenching in fluid flows (2002) (59)
New Numerical Results for the Surface Quasi-Geostrophic Equation (2012) (56)
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications (2015) (55)
A few results and open problems regarding incompressible fluids (1995) (54)
Existence of solutions to the Stommel-Charney model of the Gulf Stream (1988) (51)
Quenching of flames by fluid advection (2000) (50)
Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit (2017) (49)
Critical SQG in Bounded Domains (2016) (48)
A posteriori regularity of the three-dimensional Navier–Stokes equations from numerical computations (2006) (47)
On the Nernst–Planck–Navier–Stokes system (2018) (47)
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations (2010) (47)
Terascale turbulence computation using the FLASH3 application framework on the IBM Blue Gene/L system (2008) (46)
Note on the number of steady states for a two-dimensional Smoluchowski equation (2005) (45)
On the Large Time Galerkin Approximation of the Navier–Stokes Equations (1984) (44)
Effects of the forcing function spectrum on the energy spectrum in 2‐D turbulence (1994) (44)
Inviscid Limit for Damped and Driven Incompressible Navier-Stokes Equations in $$\mathbb R^2$$ (2006) (43)
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations (2009) (42)
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models (2014) (42)
A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. (2010) (42)
Regularity of inviscid shell models of turbulence. (2006) (40)
Remarks on Oldroyd-B and Related Complex Fluids Models (2010) (39)
Exponential decay of the power spectrum of turbulence (1995) (39)
Euler and Navier-Stokes Equations (2008) (38)
Inelastic collisions of three particles on a line as a two-dimensional billiard (1995) (37)
Variational bounds in dissipative systems (1995) (36)
Global Weak Solutions for SQG in Bounded Domains (2016) (35)
Dirichlet quotients and 2D periodic Navier-Stokes equations (1997) (35)
The Littlewood–Paley Spectrum in Two-Dimensional Turbulence (1997) (33)
On the evolution of nearly circular vortex patches (1988) (33)
Absence of Anomalous Dissipation of Energy in Forced Two Dimensional Fluid Equations (2013) (33)
Remarks on the Inviscid Limit for the Navier-Stokes Equations for Uniformly Bounded Velocity Fields (2015) (32)
Remarks on a paper by Gavrilov: Grad–Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications (2019) (32)
Rigorous estimates of small scales in turbulent flows (1996) (30)
Local and global strong solutions for SQG in bounded domains (2017) (30)
Chapter 4 Near Identity Transformations for the Navier-Stokes Equations (2003) (30)
Scattering for Schrödinger operators in a class of domains with non-compact boundaries☆ (1981) (30)
Scaling exponents in fluid turbulence: some analytic results (1994) (29)
Uniformly attracting limit sets for the critically dissipative SQG equation (2015) (29)
Non-planar fronts in Boussinesq reactive flows (2004) (27)
Remarks on a Liouville-Type Theorem for Beltrami Flows (2014) (27)
Remarks on the Navier-Stokes Equations (1991) (27)
Holder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing (2009) (27)
Dissipativity and Gevrey regularity of a Smoluchowski equation (2005) (27)
Hard turbulence in a finite dimensional dynamical system (1989) (26)
Compressible fluids and active potentials (2018) (26)
Singular, weak and absent: Solutions of the Euler equations (2008) (26)
Heat transport in rotating convection (1999) (25)
Numerical study of the Eulerian-Lagrangian formulation of the Navier-Stokes equations (2003) (25)
Flexibility and Rigidity in Steady Fluid Motion (2020) (24)
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions (2006) (23)
The geometry of turbulent advection: sharp estimates for the dimensions of level sets (1994) (23)
Inviscid Limit of Vorticity Distributions in the Yudovich Class (2019) (22)
Geometric and analytic studies in turbulence (1994) (22)
Lagrangian-eulerian methods for uniqueness in hydrodynamic systems (2014) (21)
Statistical solutions of the Navier–Stokes equations on the phase space of vorticity and the inviscid limits (1997) (21)
An Incompressible 2D Didactic Model with Singularity and Explicit Solutions of the 2D Boussinesq Equations (2014) (20)
Scaling Exponents for Active Scalars (1998) (20)
On quasisymmetric plasma equilibria sustained by small force (2020) (20)
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations (2015) (19)
Front formation in an active scalar equation. (1999) (19)
Logarithmic Bounds for Infinite Prandtl Number Rotating Convection (2001) (19)
Fronts in reactive convection: Bounds, stability, and instability (2002) (19)
Inviscid Limit for SQG in Bounded Domains (2018) (18)
Dynamics of a complex interface (1991) (18)
Numerical study on the Eulerian–Lagrangian analysis of Navier–Stokes turbulence (2008) (17)
Topics in mathematical fluid mechanics (2013) (17)
Analysis of Hydrodynamic Models (2017) (16)
Nernst–Planck–Navier–Stokes Systems far from Equilibrium (2020) (16)
Bounds for second order structure functions and energy spectrum in turbulence (1999) (16)
High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation (2020) (15)
The Onsager equation for corpora (2008) (15)
Deformation and Symmetry in the Inviscid SQG and the 3D Euler Equations (2012) (14)
Nonlinear inviscid incompressible dynamics (1995) (13)
Decay estimates for Schrödinger equations (1990) (13)
Nernst-Planck-Navier-Stokes systems near equilibrium (2020) (13)
Remarks on complex fluid models (2012) (13)
Vorticity Measures and the Inviscid Limit (2018) (12)
On the high intensity limit of interacting corpora (2010) (12)
Finite-dimensional attractor for the laser equations (1989) (12)
Near identity transformations for the Navier-Stokes equations (2001) (11)
On Some Electroconvection Models (2015) (10)
Filtered viscous fluid equations (2003) (10)
Review: Heinz-Otto Kreiss and Jens Lorenz, Initial-boundary value problems and the Navier-Stokes equations (1990) (10)
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems (2020) (10)
Propagation and quenching in a reactive Burgers–Boussinesq system (2008) (10)
Local formulae for the hydrodynamic pressure and applications (2013) (9)
Entropy Hierarchies for Equations of Compressible Fluids and Self-Organized Dynamics (2019) (9)
Energy Spectrum of Quasi-Geostrophic Turbulence (2002) (9)
Active scalars and the Euler equations (1994) (8)
Existence of pulsating waves in a model of flames in sprays (2006) (8)
Transport in rotating fluids (2002) (8)
An Eulerian-Lagrangian Approach for Incompressible Fluids (1999) (7)
Relaxation in Reactive Flows (2008) (7)
Stochastic Lagrangian transport and generalized relative entropies (2006) (7)
An Incompressible 2D Didactic Model with Singularity and Explicit Solutions of the 2D Boussinesq Equations (2014) (7)
Complex Fluids and Lagrangian Particles (2013) (7)
Some Mathematical Problems of Fluid Mechanics (1995) (6)
Two- and three-dimensional magnetic reconnection observed in the Eulerian-Lagrangian analysis of magnetohydrodynamics equations. (2008) (6)
On Singularity Formation in a Hele-Shaw Model (2017) (6)
Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence (2006) (6)
Singularities in complex interfaces (1990) (6)
TRAVELING WAVES IN 2D REACTIVE BOUSSINESQ SYSTEMS WITH NO-SLIP BOUNDARY CONDITIONS (2006) (6)
Estimates Near the Boundary for Critical SQG (2019) (6)
Generalized relative entropies and stochastic representation (2006) (5)
Nonlocal nonlinear advection-diffusion equations (2017) (5)
Navier-Stokes equations and fluid turbulence (2000) (5)
The fractal geometry of the level sets of a contaminant dispersed by chaotic surface waves (1993) (5)
Absence of Proper Nondegenerate Generalized Self-Similar Singularities (1998) (5)
Bounds for Turbulent Transport (2000) (4)
Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations (2014) (3)
Partial differential equation problems from simple to complex fluids (2008) (3)
Navier Stokes Equations: A Quick Reminder and a Few Remarks (2016) (3)
Three Lectures on Mathematical Fluid Mechanics (2001) (3)
Existence and stability of nonequilibrium steady states of Nernst–Planck–Navier–Stokes systems (2022) (3)
The Euler Equations and Nonlocal (2000) (2)
Far-field perturbations of vortex patches (2015) (2)
Deformation and Symmetry in the Inviscid SQG and the 3D Euler Equations (2012) (2)
Eulerian-lagrangian formalism and vortex reconnection (2007) (2)
תכונות ספקטרליות של אופרטורים שרודינגר בתחומים עם שפה לא חסומה. (Spectral properties of Schrödinger operators in domains with infinite boundaries.) (1980) (2)
Variational Bounds in Turbulent Convection (2000) (2)
Progress in Mathematical Fluid Dynamics (2020) (2)
Note on Lagrangian–Eulerian methods for uniqueness in hydrodynamic systems (2018) (2)
On a Type I Singularity Condition in Terms of the Pressure for the Euler Equations in ℝ3 (2021) (1)
Remarks on Type I Blow-Up for the 3D Euler Equations and the 2D Boussinesq Equations (2021) (1)
Magnetic Relaxation of a Voigt-MHD System (2022) (1)
Some mathematical aspects of incompressible fluid mechanics (1997) (1)
Note on Global Regularity for Two-Dimensional Oldroyd-B Fluids with Diffusive Stress (2012) (1)
New Numerical Results for the Surface Quasi-Geostrophic Equation (2011) (1)
Application: The Chaffee—Infante Reaction—Diffusion Equation (1989) (1)
Erratum: Energy dissipation in shear driven turbulence(Physical Review Letters(1992), 69, 20,(3000)) (1992) (1)
Erratum: Two- and three-dimensional magnetic reconnection observed in the Eulerian-Lagrangian analysis of magnetohydrodynamics equations [Phys. Rev. E 78 , 066315 (2008)] (2009) (1)
Construction of the Inertial Manifold (1989) (1)
Flexibility and rigidity of free boundary MHD equilibria (2021) (1)
Mathematical Problems of Statistical Hydromechanics. By M. J. VISHIK and A. V. FURSIKOV. Kluwer, 1988. 576 pp. $149 or £90. (1990) (0)
Absence of Anomalous Dissipation of Energy in Forced Two Dimensional Fluid Equations (2013) (0)
On the zero temperature limit of interacting corpora (2008) (0)
On Singularity Formation in a Hele-Shaw Model (2018) (0)
On a Type I singularity condition in terms of the pressure for the Euler equations in $\mathbb R^3$ (2020) (0)
Application: A Parabolic Equation in Two Space Variables (1989) (0)
Chapter 4: Spaces and operators (2017) (0)
Application: A Nonlocal Burgers Equation (1989) (0)
Reaction-diffusion and Free Boundary Problems (2007) (0)
A P ] 2 0 Fe b 20 07 Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2 (2007) (0)
Cone Invariance Properties (1989) (0)
The 3D Euler and 2D surface quasi-geostrophic equations (2019) (0)
On Some Electroconvection Models (2016) (0)
J un 2 01 8 Inviscid limit for SQG in bounded domains (2018) (0)
The 3 D Euler and 2 D surface quasi-geostrophic equations organized by (2014) (0)
Long Time Dynamics of Forced Critical SQG (2014) (0)
Topics in mathematical fluid mechanics : Cetraro, Italy 2010 (2013) (0)
Vorticity Measures and the Inviscid Limit (2019) (0)
Lower Bound for the Exponential Rate of Convergence to the Attractor (1989) (0)
Stability with Respect to Perturbations (1989) (0)
Regularity and Inviscid Limits in Hydrodynamic Models (2020) (0)
Remembrances of Ciprian Ilie Foias (2022) (0)
Estimates Near the Boundary for Critical SQG (2020) (0)
O ct 2 01 5 Remarks on the fractional Laplacian with Dirichlet boundar y conditions and applications (2018) (0)
Application: The Cahn—Hilliard Equation (1989) (0)
Exponential Decay of Volume Elements and the Dimension of the Global Attractor (1989) (0)
Eulerian-Lagrangian analysis of turbulence (Anatomy of Turbulence : Flow Structure and Its Function) (2004) (0)
Nonlocal nonlinear advection-diffusion equations (2017) (0)
Chapter 2: Lagrangian and Eulerian descriptions of hydrodynamic systems (2017) (0)
On the Barotropic Model of the Ocean Circulation (1987) (0)
Chapter 5: The Lagrangian-Eulerian existence theorems (2017) (0)
Asymptotic Completeness: Proof of Theorem 12.1 (1989) (0)
Decay Estimates for Schrδdinger Equations (2004) (0)
Eulerian-Lagrangian analysis of MHD equations (Turbulence phenomena and their reduction from the point of view of dynamical systems) (2005) (0)
Nonlinear maximum principles for dissipative linear nonlocal operators and applications (2012) (0)
Chapter 3: Hydrodynamic models (2017) (0)
Local Exponential Decay Toward Blocked Integral Surfaces (1989) (0)
Choice of the Initial Manifold (1989) (0)
Dissipativity and Gevrey Regularity of a (2004) (0)
Strong Squeezing Property (1989) (0)
Ju l 2 00 2 Energy Spectrum of Quasi-Geostrophic Turbulence (2002) (0)
Fe b 20 14 On the Muskat problem : global in time results in 2 D and 3 D (0)
Erratum to: An Incompressible 2D Didactic Model with Singularity and Explicit Solutions of the 2D Boussinesq Equations (2014) (0)
3D Large-Scale DNS of Weakly-Compressible Homogeneous Isotropic Turbulence With Lagrangian Tracer Particles (2006) (0)
Generalized Relative Entropies (2008) (0)
INVARIANTS, DIFFUSION AND TOPOLOGICAL CHANGE IN INCOMPRESSIBLE NAVIER-STOKES EQUATIONS (2006) (0)
A P ] 6 M ar 2 00 1 On the critical dissipative quasi-geostrophic equation (2001) (0)
Difiusion and mixing in ∞uid ∞ow (2008) (0)
Exponents of bulk heat transfer in convective turbulence (1997) (0)
Mathematical Aspects of Hydrodynamics (2020) (0)
Presentation of the Approach and of the Main Results (1989) (0)
Conceptual models of the climate : 2002 program of study, Bounds on turbulent transport (2003) (0)
Pressure, Intermittency, Singularity (2023) (0)
Asymptotic Completeness: Preparation (1989) (0)
Critical SQG in Bounded Domains (2016) (0)
Chapter 6: Critical dissipative active scalars (2017) (0)
Erratum to: An Incompressible 2D Didactic Model with Singularity and Explicit Solutions of the 2D Boussinesq Equations (2014) (0)
For Ciprian Foias, in memoriam. NERNST-PLANCK-NAVIER-STOKES SYSTEMS NEAR EQUILIBRIUM (2020) (0)
Consequences Regarding the Global Attractor (1989) (0)
Existence, uniqueness, regularity and long time behavior of hydrodynamic evolution equations (2017) (0)
A P ] 2 4 Ju l 2 00 2 Transport in Rotating Fluids (2002) (0)
Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit (2017) (0)
A P ] 2 1 Ju l 1 99 9 Bulk Burning Rate in Passive-Reactive Diffusion (0)
A report to the Department of Energy on studies of complexity in fluid systems (1994) (0)
Application: The Kuramoto—Sivashinsky Equation (1989) (0)
On the Nernst–Planck–Navier–Stokes system (2018) (0)
A P ] 1 1 M ay 2 00 0 An Eulerian-Lagrangian Approach to the Navier-Stokes equations (0)
Narrow Escapes: Geometry and Singularities (2002) (0)
Spectral Blocking Property (1989) (0)
The Transport of Finite-Dimensional Contact Elements (1989) (0)
Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection (2009) (0)
Diffusion of Lagrangian invariants in the Navier-Stokes equations (2002) (0)
Book Review: Mathematical theory of incompressible viscous fluids (1995) (0)
International Research Training Group 1529 Mathematical Fluid Dynamics (2014) (0)
Singular limits in fluid mechanics (1997) (0)

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What Schools Are Affiliated With Peter Constantin?

Peter Constantin is affiliated with the following schools: