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.
Papers
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Analytic study of shell models of turbulence
TL;DR: In this paper, the authors studied analytically the viscous "sabra" shell model of the energy turbulent cascade and proved the global regularity of solutions and showed that the shell model has finitely many asymptotic degrees of freedom, specifically: a finite dimensional global attractor and globally invariant inertial manifolds.
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Global regularity for 2D Muskat equations with finite slope
TL;DR: In this paper, the 2D Muskat equation for the interface between two constant density fluids in an incompressible porous medium, with velocity given by Darcy's law, is considered.
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Bounds for heat transport in a porous layer
TL;DR: In this article, the authors derived bounds on convective heat transport in a porous layer heated from below using the background field variational method based on the technique introduced by Hopf (1941).
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Note on Global Regularity for Two-Dimensional Oldroyd-B Fluids with Diffusive Stress
Peter Constantin,Markus Kliegl +1 more
TL;DR: In this paper, the authors prove global regularity of solutions of the Oldroyd-B equations in two spatial dimensions with spatial diffusion of the polymeric stresses, and show that the diffusion is global in nature.
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Nonsingular surface quasi-geostrophic flow
TL;DR: In this paper, the dynamics of large eddies in the atmosphere and oceans is described by the surface quasi-geostrophic equation, which is reminiscent of the Euler equations.