Julian Cole

Julian David Cole ( born April 2, 1925 in Brooklyn, † 17 April 1999 in Albany, New York) was an American applied mathematician, known for contributions to the perturbation theory.

Life

Cole studied engineering at Cornell University and at Caltech, where he studied with Hans Liepmann and Paco Lagerstrom. In 1949 he received his doctorate at Caltech in Lagerstrom on transonic flow. He was then at the Guggenheim Aeronautical Laboratory ( Galcit ) of Caltech. There he developed important perturbative methods of hydrodynamics and aerodynamics, which found widespread use later. Later he worked as a research liaison officer of the Office of Naval Research in London, scientists at Boeing as well as a professor at the University of California, Los Angeles ( UCLA) and at Rensselaer Polytechnic Institute.

On Galcit he examined in the 1940s, first the transonic flow region, which was then at the beginning of supersonic flight an important research area. In his first published scientific work with Liepmann 1948, he foresaw the possibility of shock- wave- free transonic airfoils, in whose development he later became an important role (development of finite difference methods in this area at Boeing with Earll Murman 1968/68, published in 1971 ). He pointed Lagerstrom and Lionel Trilling that weak shock waves for certain solutions of the Navier -Stokes equation can be described by the Burgers equation and found a solution to this equation by the Hopf -Cole transformation. The notion of the equations of the boundary layer theory as asymptotic expansion of the solutions of the Navier -Stokes equation for infinite Reynolds number plus rescaling was then developed by Cole and bearing current. In the late 1950s he developed with Jerry Kevorkian multiscale methods in perturbation theory.

Cole is the author of several standard works on perturbative methods. His first book about it ( Perturbation methods in applied mathematics ) originated from lectures at Harvard 1963/64.

In 1984 he received the Theodore von Kármán Prize. The Julian Cole Lecture SIAM is named in his honor. He was a Fellow of the National Academy of Engineering, the National Academy of Sciences ( 1976), the American Academy of Arts and Sciences, the American Physical Society and the American Institute of Aeronautics and Astronautics ( AIAA ). He received the Award for Meritorious Civilian Service of the U.S. Air Force, the Fluid Dynamics Award of the AIAA and the National Academy of Sciences Award in Applied Mathematics and Numerical Analysis. Among his 38 Ph.D. students include George Bluman and Jerry Kevorkian.

He was an avid joggers and outdoor activist. His wife Susan Cole was also mathematics professor at Rensselaer Polytech.

Writings

  • Perturbation methods in applied mathematics, Springer Verlag 1968, 1981, 1996
  • With J. Kevorkian Multiple scale and singular perturbation methods, Springer Verlag 1996
  • George Bluman Similarity methods for Differential Equations, Springer Verlag 1974
  • Pamela Cook Transonic Aerodynamics, Elsevier 1986
Hans W. Liepmann Burgers' equation
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