What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (58.50%)
- Euler equations (21.77%)
- Navier–Stokes equations (17.69%)
What were the highlights of his more recent work (between 2013-2021)?
- Mathematical analysis (58.50%)
- Bounded function (11.90%)
- Euler equations (21.77%)
In recent papers he was focusing on the following fields of study:
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.
Between 2013 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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