Diffusion Equations and the Quasilinear Approximation

  • Oleg G. Bakunin
Part of the Springer Series in Synergetics book series (SSSYN)


Diffusion Equation Peclet Number Density Perturbation Turbulent Transport Quasilinear Equation 
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Further Reading

Seed Diffusion Effects

  1. Brenner, M.P. (2000). Classical Physics Through the Work of GI Taylor. MIT Lectures.Google Scholar
  2. Crisanti, A., Falcioni, M., and Vulpiani, A. (1991). Rivista Del Nuovo Cimento, 14, 1–80.Google Scholar
  3. Mazo, R.M. (2002). Brownian Motion, Fluctuations, Dynamics and Applications. Clarendon Press, Oxford.zbMATHGoogle Scholar
  4. Moffatt, H.K. (1981). Journal of Fluid Mechanics, 106, 27.zbMATHCrossRefADSMathSciNetGoogle Scholar
  5. Monin, A.S. and Yaglom, A.M. (1975). Statistical Fluid Mechanics. MIT Press, Cambridge, MA.Google Scholar
  6. Nieuwstadt, F.T.M. and Van Dop, H., eds. (1981). Atmospheric Turbulence and Air Pollution Modeling. D. Reidel, Dordrecht.Google Scholar
  7. Squires, T. and Quake, S. (2005). Reviews of Modern Physics, 77, 986.Google Scholar
  8. Zeldovich, Ya. B., Ruzmaikin, A.A., and Sokoloff, D.D. (1990). The Almighty Chance. World Scientific, Singapore.CrossRefGoogle Scholar

The Quasilinear Approach

  1. Kadomtsev, B.B. (1976). Collective Phenomena in Plasma. Nauka, Moscow.Google Scholar
  2. Kingsep, A.S. (1996). Introduction to the Nonlinear Plasma Physics. Mosk. Fiz.-Tekh. Inst., Moscow.Google Scholar
  3. Krommes, J.A. (2002). Physics Reports, 360, 1–352.Google Scholar
  4. Tsytovich, V.N. (1974). Theory of Turbulent Plasma. Plenum Press, New York.Google Scholar

The Telegraph Equation

  1. Joseph, D.D. and Prezioso, L. (1989). Reviews of Modern Physics, 61, 41.zbMATHCrossRefADSMathSciNetGoogle Scholar
  2. Uchaikin, V. (2003). Physics-Uspekhi, 173, 765.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Oleg G. Bakunin

    There are no affiliations available

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