Peter Constantin

Peter S. Constantin (born August 29, 1951 in Cluj ) is a Romanian-American mathematician who deals with partial differential equations, especially in hydrodynamics .

Constantin studied at the University of Bucharest , where he graduated in 1975 “summa cum laude”. He emigrated to Israel, where he received his PhD under Shmuel Agmon at the Hebrew University in 1981 (Spectral Properties of Schrödinger Operators in Domains with Infinite Boundaries). In 1985 he became an assistant professor at the University of Chicago , where he has been a professor since 1988, since 2005 "Louis Block Professor" and from 2009 "Distinguished Service Professor". From 2012 he is "William R. Kenan Jr. Professor" at Princeton University . Among other things, he was visiting scientist at the Max Planck Institute for Mathematics in Bonn , at the Weizmann Institute, at the Institute for Advanced Study , at the University of Paris-Süd , at the École normal supérieure , at the Mittag-Leffler Institute , at the IHES , at the RIMS in Kyoto , at the Institute Henri Poincaré in Paris, at the MSRI , at the Courant Institute of Mathematical Sciences of New York University , at the Erwin Schrödinger Institute for Mathematical Physics in Vienna and at the Isaac Newton Institute in Cambridge.

Constantin dealt with the partial differential equations of hydrodynamics, such as Euler equation, Navier-Stokes equation and with turbulence theory , for example the dimension of attractors in chaos theory, intermittency, critical scaling exponents in hydrodynamics, convective turbulence, fronts in reactive media such as flames, turbulent transport, questions of the existence and regularity of the solutions, local smoothing, turbulence equations with active scalar. In some cases he worked with the mathematicians Roger Temam , Peter Lax , Ciprian Foias and the chaos theorists and physicists Leo Kadanoff and Itamar Procaccia . Constantin also dealt with other equations in mathematical physics such as the Schrödinger equation. In 1994 he proved the Onsager conjecture (fully proven by Philip Isett in 2017 ) for exponents greater than a third.

From 1986 to 1990 he was a Sloan Research Fellow . In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich (Some mathematical problems of fluid mechanics). From 1998 to 2004 he was the editor of "Nonlinearity". He is a Fellow of the American Mathematical Society , the American Physical Society, and the SIAM . In 2010 he was elected to the American Academy of Arts and Sciences .

Mary Pugh is one of his PhD students.

Fonts

with Foias, Temam, B. Nicolaenko: Integral manifolds and intertial manifolds for dissipative partial differential equations , Springer, Applied Mathematical Sciences Series, Vol. 70, 1988
with Foias: The Navier-Stokes-Equations , University of Chicago Press 1988
Remarks on the Navier-Stokes equation in L. Sirovich New perspectives in Turbulence , Springer 1991
with Weinan E , Edriss S. Titi: Onsager's conjecture on the energy conservation for solutions of Euler's equation , Comm. Math. Phys., Vol. 165, 1994, pp. 207-209
Euler Equations, Navier-Stokes Equations and Turbulence in M. Cannone, T. Miyakawa Mathematical foundation of turbulent viscous flow , Springer, Lecture notes in Mathematics, Vol. 1871, 2005
On the Euler Equations of incompressible Flow , Bull. AMS, Vol. 44, 2007, p. 603.
Some open problems and research directions in the mathematical study of fluid dynamics in Björn Engquist, Wilfried Schmid (editor): Mathematics unlimited- 2001 and beyond , Springer 2001

Web links

Individual evidence

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personal data
SURNAME	Constantin, Peter
ALTERNATIVE NAMES	Constantin, Peter S.
BRIEF DESCRIPTION	Romanian-American mathematician
DATE OF BIRTH	August 29, 1951
PLACE OF BIRTH	Cluj

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