P
Peter Constantin
Researcher at Princeton University
Publications - 269
Citations - 17314
Peter Constantin is an academic researcher from Princeton University. The author has contributed to research in topics: Euler equations & Navier–Stokes equations. The author has an hindex of 66, co-authored 264 publications receiving 15730 citations. Previous affiliations of Peter Constantin include Weizmann Institute of Science & University of Chicago.
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Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker-Planck equations
Peter Constantin,Gregory Seregin +1 more
TL;DR: In this article, the authors provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-Planck equations in two spatial dimensions, in the absence of boundaries.
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Non-Kolmogorov scaling exponents and the geometry of high Reynolds number turbulence.
TL;DR: It is argued that some of the popular fractal and multifractal models of intermittency in turbulence are not consistent with fluid mechanics, and miss some essential physics.
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Droplet breakup in a model of the Hele-Shaw cell
Peter Constantin,Todd F. Dupont,Raymond E. Goldstein,Leo P. Kadanoff,Michael Shelley,Zu-Min Zhou +5 more
TL;DR: In this article, the authors employ the lubrication approximation, which implies for a symmetrical neck that the neck thickness h obeys h t + (hh xxx ) x = 0.
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Vorticity measures and the inviscid limit
TL;DR: In this paper, the authors considered a sequence of Leray-Hopf weak solutions of the Navier-Stokes equations on a bounded domain, in the vanishing viscosity limit.
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Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields
TL;DR: It is proved that the inviscid limit holds in the energy norm if the product of the components of the Navier-Stokes solutions are equicontinuous at $x_2=0$.