Peter Constantin

About

Peter Constantin is the John von Neumann Professor in the Department of Mathematics at Princeton University. He is also the Director of PACM at Princeton. His contact information includes the office at Fine Hall, Washington Road, Princeton, NJ, and his email is const-at-math-dot-princeton-dot-edu. The page provides links to his curriculum vitae and lists of publications, including older papers from 2001-2009, papers from 2010-2020, and preprints. No additional biographical or research details are provided on the page.

Research topics

• Mathematics
• Mathematical analysis
• Physics
• Classical mechanics
• Mechanics

Selected publications

• Flexibility and Rigidity in Steady Fluid Motion

  Communications in Mathematical Physics · 2021-03-11 · 39 citations

  articleOpen access1st authorCorresponding
  PublisherOA PDFDOI

• High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation

  Journal of Evolution Equations · 2020-09-05 · 30 citations

  article1st authorCorresponding
  PublisherDOI

• Magnetic Relaxation of a Voigt–MHD System

  Communications in Mathematical Physics · 2023-06-22 · 15 citations

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  PublisherDOI

• Flexibility and rigidity of free boundary MHD equilibria

  Nonlinearity · 2022-04-21 · 6 citations

  articleOpen access1st author

  Abstract We study stationary free boundary configurations of an ideal incompressible magnetohydrodynamic fluid possessing nested flux surfaces. In 2D simply connected domains, we prove that if the magnetic field and velocity field are never commensurate, the only possible domain for any such equilibria is a disk, and the velocity and magnetic field are circular. We give examples of non-symmetric equilibria occupying a domain of any shape by imposing an external magnetic field generated by a sing…

  PublisherOA PDFDOI

• Nernst-Planck-Navier-Stokes systems near equilibrium

  arXiv (Cornell University) · 2020-08-24 · 5 citations

  preprintOpen access1st authorCorresponding

  The Nernst-Planck-Navier-Stokes system models electrodiffusion of ions in a fluid. We prove global existence of solutions in bounded domains in three dimensions with either blocking (no-flux) or uniform selective (special Dirichlet) boundary conditions for ion concentrations. The global existence of strong solutions is established for initial conditions that are sufficiently small perturbations of steady state solutions. The solutions remain close to equilibrium in strong norms. The main two ste…

  PublisherOA PDFDOI

Recent grants

• Nonlinear Fokker-Planck Equations and Hybrid Stochastic Deterministic Systems

  NSF · $153k · 2011–2013

• Complex and Nonlocal Systems

  NSF · $600k · 2012–2017

• Complex Systems and Boundary Interactions

  NSF · $320k · 2017–2020

Frequent coauthors

• R. Teman

  40 shared

• Vlad Vicol

  34 shared

• Ciprian Foiaş

  Texas A&M University

  30 shared

• Mihaela Ignatova

  Temple University

  25 shared

• Jiahong Wu

  University of Notre Dame

  24 shared

• B. Nicolaenko

  Texas A&M University

  21 shared

• Edriss S. Titi

  21 shared

• Itamar Procaccia

  Weizmann Institute of Science

  16 shared

Education

• Ph.D

  The Hebrew University of Jerusalem

  1981

• M.A. summa cum laude, Mathematics and Mechanics

  University of Bucharest

  1975

• B.A., Faculty of Mathematics and Mechanics

  University of Bucharest

  1974

Similar researchers at Princeton University

• Noga Alonh-109
• Charles Feffermanh-55
• Sun-Yung Alice Changh-37