Alexandre Chorin

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

Chorin 1961 received a degree in engineering at the Ecole Polytechnique. He made his 1964 master's degree and doctorate in 1966 with Peter Lax at New York University (Numerical Study of Thermal Convection in a Fluid Layer Heated from Below ). He was from 1966 at the Courant Institute of Mathematical Sciences of New York University, where he was an Assistant Professor in 1969 and then Associate Professor. He received in 1974 a full professor at the University of California, Berkeley, after already having 1971/72 Visiting Professor ( Research Professor Miller ) was there and then Associate Professor. 1986 to 1995 he was standing there in front of the mathematics faculty since 1995, he was Director of the Center for Pure and Applied Mathematics. He was a visiting professor at the Institute for Advanced Study (1991 /92) and Harvard University. Since 1989 he was also a professor at the University of Tel Aviv.

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

Next he developed the method of artificial compressibility and the Vortex Method in numerical hydrodynamics. He also deals with the theory of turbulence (eg, scaling laws ), models of statistical mechanics (such as the Kosterlitz - Thouless model) and with stochastics.

2000 he received the Norbert Wiener Prize. He also received the University of California professorial Award, which allows him to do research on each of the different campus and teach. In 1986 he was invited speaker at the ICM, 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.

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

His doctoral include James Sethian and Charles Peskin.

Writings

  • By Jerrold Marsden: A mathematical introduction to fluid mechanics, Springer Verlag, 1979, 3rd edition 1993
  • Vorticity and Turbulence, Springer 1994
  • Computational fluid mechanics. Selected Papers. Academic Press 1989
  • Numerical methods in statistical hydrodynamics, press Univ. de Montreal 1977
  • Lectures on Turbulence Theory, Publish or Perish 1975
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