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Book Review

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Full text of review: PDF
Book Information:

Author: Alexandre Chorin
Title: Vorticity and turbulence
Additional book information: Appl. Math. Sci. Ser., vol. 103, Springer-Verlag, New York, 1994, viii + 174 pp., ISBN 0-387-94197-5, $35.00

References [Enhancements On Off] (What's this?)

  • 1 J. C. R. Hunt, O. M. Phillips, and D. Williams (eds.), Turbulence and stochastic processes: Kolmogorov’s ideas 50 years on, Royal Society, London, 1991. Proc. Roy. Soc. London Ser. A 434 (1991), no. 1890. MR 1124921
  • 2 W. D. McComb, The physics of fluid turbulence, Oxford Engineering Science Series, vol. 25, The Clarendon Press, Oxford University Press, New York, 1991. Oxford Science Publications. MR 1192131
  • 3 Marcel Lesieur, Turbulence in fluids, 2nd ed., Fluid Mechanics and its Applications, vol. 1, Kluwer Academic Publishers Group, Dordrecht, 1990. Stochastic and numerical modelling. MR 1145001
  • 4 Milton Van Dyke, J. V. Wehausen, and John L. Lumley (eds.), Annual review of fluid mechanics. Vol. 18, Annual Reviews Inc., Palo Alto, CA, 1986. MR 828782
  • 5 P. B. Weichman, Statistical mechanics, Euler’s equation, and Jupiter’s red spot, Nonlinear waves and weak turbulence with applications in oceanography and condensed matter physics (Cleveland, OH, 1992) Progr. Nonlinear Differential Equations Appl., vol. 11, Birkhäuser Boston, Boston, MA, 1993, pp. 239–277. MR 1276517
  • 6 R. Robert and J. Sommeria, Statistical equilibrium states for two-dimensional flows, J. Fluid Mech. 229 (1991), 291–310. MR 1121395, 10.1017/S0022112091003038
  • 7 Majda, A. and Holen, M., Statistical theories and dissipation for large scale flows (in preparation).
  • 8 Majda, A. and Bertozzi, A., Vorticity and the Mathematical Theory of Incompressible Flow (Lecture notes and book in preparation).
  • 9 Andrew J. Majda, Vorticity, turbulence, and acoustics in fluid flow, SIAM Rev. 33 (1991), no. 3, 349–388. MR 1124358, 10.1137/1033096
  • 10 Peter Constantin, Geometric statistics in turbulence, SIAM Rev. 36 (1994), no. 1, 73–98. MR 1267050, 10.1137/1036004

Review Information:

Reviewer: Andrew J. Majda
Affiliation: Courant Institute of Mathematical Sciences
Journal: Bull. Amer. Math. Soc. 33 (1996), 71-73
Review copyright: © Copyright 1996 American Mathematical Society