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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Journal ArticleDOI
Droplet breakup in a model of the Hele-Shaw cell.
Peter Constantin,Todd F. Dupont,Raymond E. Goldstein,Leo P. Kadanoff,Michael Shelley,Su Min Zhou +5 more
TL;DR: It is argued that in this case the Hele-Shaw cell system does indeed realize this infinite-time breakage scenario and indeed achieves h=0, and hence a possible broken neck within a finite time.
Journal ArticleDOI
Generalized surface quasi-geostrophic equations with singular velocities
TL;DR: In this paper, the existence and uniqueness results for two families of active scalar equations with velocity fields determined by the scalars through very singular integrals were established, where the boundary case β = 1 corresponds to the generalized surface quasigeostrophic (SQG) equation and the situation is more singular for β > 1.
Book ChapterDOI
Euler Equations, Navier-Stokes Equations and Turbulence
TL;DR: The Navier-Stokes equations as mentioned in this paper are a viscous regularization of the Euler equations, which are still an enigma, and the Reynolds equations are still a riddle.
Journal ArticleDOI
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
Peter Constantin,Jiahong Wu +1 more
TL;DR: In this article, a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ( α 1 / 2 ) dissipation ( − Δ ) α was presented.
Journal ArticleDOI
On the global existence for the Muskat problem
TL;DR: This work proves an L2(R) maximum principle, in the form of a new “log” conservation law which is satisfied by the equation (1) for the interface, and takes advantage of the fact that the bound ‖∂xf0‖L∞ < 1 is propagated by solutions, which grants strong compactness properties in comparison to the log conservation law.