Alexandre Chorin

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Alexandre Chorin

Alexandre Joel Chorin (born June 25, 1938 in Warsaw ) is an American mathematician who deals with numerical fluid mechanics , in particular the solution of the incompressible Navier-Stokes equations .

Chorin graduated from the École polytechnique fédérale de Lausanne in 1961 with a degree in engineering . He completed his master’s degree in 1964 and received his doctorate in 1966 with Peter Lax at New York University ( Numerical Study of Thermal Convection in a Fluid Layer Heated from Below ). From 1966 he was at the Courant Institute of Mathematical Sciences of New York University , where he became an assistant professor in 1969 and then an associate professor. He received 1974 a full professor at the University of California, Berkeley , after he was there already 1971/72 visiting professor (Miller Research Professor) and thereafter associate professor. From 1986 to 1995 he was head of the mathematics faculty there and since 1995 he was director of the Center for Pure and Applied Mathematics. He was visiting professor at the Institute for Advanced Study (1991/92) and Harvard University . Since 1989 he was also a professor at Tel Aviv University .

Chorin developed various methods for the numerical treatment of the incompressible Navier-Stokes equations in hydrodynamics. In 1967 he developed the projection method (as did Roger Temam independently in 1968), which is based on the decomposition of the velocity field into a divergence-free ( solenoidal ) and a rotation-free part (given by the gradient of a scalar function). In the first step, an intermediate solution for the flow velocity u is formed from the discretized Navier-Stokes equation without the pressure gradient term. In the second step, the pressure gradient is taken into account, with the divergence-free part of u being projected.

He further developed the method of artificial compressibility and the vortex method in numerical hydrodynamics. He also deals with the theory of turbulence (for example scaling laws), models of statistical mechanics (such as the Kosterlitz-Thouless model) and stochastics.

In 2000 he received the Norbert Wiener Prize . He also received the University of California Professoral Award, which enables him to research and teach on each of the different campuses. In 1986 he was invited speaker at the ICM in Berkeley (Vortex methods and turbulence theory). He is a member of the National Academy of Sciences and the American Academy of Arts and Sciences . He is a fellow of the American Mathematical Society . In 2014 he was honored with the National Medal of Science by US President Barack Obama .

From 1972 to 1974 he was Sloan Research Fellow and 1987/88 Guggenheim Fellow.

His PhD students include James Sethian and Charles S. Peskin .

Fonts

  • with Ole H. Hald: Stochastic Tools in Mathematics and Science (= Surveys and Tutorials in the Applied Mathematical Sciences. 1). Springer, New York NY 2006, ISBN 0-387-28080-4 (3rd edition. (= Texts in Applied Mathematics. 58). Springer, New York NY et al. 2013, ISBN 978-1-4614-6979-7 ).
  • Vorticity and Turbulence (= Applied Mathematical Sciences. 103). Springer, New York NY et al. 1994, ISBN 0-387-94197-5 .
  • Computational fluid mechanics. Selected papers. Academic Press, Boston MA et al. 1989, ISBN 0-12-174070-6 .
  • With Jerrold E. Marsden : A mathematical introduction to fluid mechanics. Springer, New York NY et al. 1979, ISBN 0-387-90406-9 . (3rd edition, corrected 4th print. (= Texts in Applied Mathematics. 4). Ibid. 2000, ISBN 0-387-97918-2 ).
  • Numerical methods in statistical hydrodynamics (= Séminaire de Mathématiques Supérieures. 50). Presses de l'Université de Montréal, Montréal 1977, ISBN 0-8405-0351-2 .
  • Lectures on Turbulence theory (= Mathematics Lecture Series. 5). Publish or Perish, Boston MA 1975, ISBN 0-914098-14-1 .

Web links

Individual evidence

  1. Life data from American Men and Women of Science , Thomson Gale 2005.
  2. Alexandre Chorin in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ^ Chorin: Numerical Solution of the Navier-Stokes Equations. In: Mathematics of Computation . Volume 22, No. 104, 1968, pp. 745-762, doi: 10.1090 / S0025-5718-1968-0242392-2 .
  4. ^ White House press statement - President Obama Honors Nation's Top Scientists and Innovators