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
On the Muskat problem: global in time results in 2D and 3D
TL;DR: In this article, the authors considered the three dimensional Muskat problem in the stable regime and obtained a conservation law which provides an $L^2$ maximum principle for the fluid interface, and they also showed global in time existence for strong and weak solutions with initial data controlled by explicit constants.
Journal ArticleDOI
Two- and three-dimensional magnetic reconnection observed in the Eulerian-Lagrangian analysis of magnetohydrodynamics equations.
Koji Ohkitani,Peter Constantin +1 more
TL;DR: The methods are useful in capturing time scales associated with magnetic reconnection both in two and three dimensions and the determinants of the Jacobian determinant of the diffusive labels are small where active reconnection takes place.
Journal ArticleDOI
On Some Electroconvection Models
TL;DR: In this paper, the authors consider a model of electroconvection motivated by studies of the motion of a two-dimensional annular suspended smectic film under the influence of an electric potential maintained at the boundary by two electrodes.
Journal ArticleDOI
Flexibility and Rigidity in Steady Fluid Motion
TL;DR: In this paper, structural properties of steady solutions of the Euler, Boussinesq and magnetohydrostatic equations are investigated and certain Liouville-type theorems are established which show that suitable steady solutions with no stagnation points occupying a two-dimensional periodic channel, or axisymmetric solutions in (hollowed out) cylinder, must have certain structural symmetries.
Book ChapterDOI
Complex Fluids and Lagrangian Particles
TL;DR: In this article, the authors discuss complex fluids that are comprised of a solvent, which is an incompressible Newtonian fluid, and particulate matter in it, and consider as starting point kinetic descriptions of the particles.