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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Stochastic Lagrangian Transport and Generalized Relative Entropies
Peter Constantin,Gautam Iyer +1 more
TL;DR: In this paper, the authors discuss stochastic representations of advection diffusion equations with variable diffusivity and generalized relative entropies, as well as integrals of motion.
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Vorticity Measures and the Inviscid Limit
TL;DR: In this paper, the authors consider a sequence of Leray-Hopf weak solutions of the Navier-Stokes equations on a bounded domain, in the vanishing viscosity limit, and provide sufficient conditions on the associated vorticity measures, away from the boundary, which ensure that as the viscosities vanishes the sequence converges to a weak solution of the Euler equations.
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On the critical dissipative quasi-geostrophic equation
TL;DR: In this article, the authors prove existence and uniqueness of global classical solutions of the critical dissipative QG equation for initial data that have small $L^\infty$ norm.
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Generalized relative entropies and stochastic representation
TL;DR: In this paper, a stochastic interpretation of a result of decay of generalized relative entropies was presented. But the result was not considered in this paper, nor in the work of the authors of this paper.
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Energy conservation and Onsager's conjecture for the Euler equations
TL;DR: In this paper, it was shown that energy is conserved for velocities in the function space $B^{1/3}_{3,c(\NN)$.