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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Lagrangian-eulerian methods for uniqueness in hydrodynamic systems
TL;DR: A Lagrangian-Eulerian strategy for proving uniqueness and local existence of solutions of limited smoothness for a class of incompressible hydrodynamic models including Oldroyd-B type complex fluid models and zero magnetic resistivity magneto-hydrodynamics equations is presented in this paper.
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Critical SQG in bounded domains
TL;DR: In this paper, the critical dissipative SQG equation in bounded domains with the square root of the Dirichlet Laplacian dissipation was considered, and global a priori interior $C^{alpha}$ and Lipschitz bounds for large data were proved.
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Near identity transformations for the Navier-Stokes equations
TL;DR: The Navier-Stokes equations and their various approximations can be described in terms of near identity maps, that are diffusive particle path transformations of physical space as mentioned in this paper.
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Dynamics of a complex interface
Peter Constantin,Leo P. Kadanoff +1 more
TL;DR: In this article, the authors studied the motion of the interface between two fluids in a pressure field and proved that the nonlocal evolution equation has solutions with uniform behavior as the surface tension is allowed to become vanishingly small.
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Front formation in an active scalar equation.
TL;DR: A systematic exploration of many different initial conditions reveals no evidence of singular solutions for finite-time blowup in an active scalar equation similar to the Euler equation.