The Mathematical Theory of Turbulence

M.M. Stanišić (former faculty)

The Mathematical Theory of Turbulence book cover
  • ISBN: 0-387-96107-0
  • Publisher: Springer-Verlag, New York
  • Date: 1985
  • Table of Contents

The aim of this text is to give engineers and scientists a mathematical feeling for a subject which, because of its nonlinear character, has resisted mathematical analysis for many years. The reader will find that besides a systematic presentation of traditionally knowledge of turbulence, the author has enhanced the extant literature with several unorthodox touches: Kraichnan's theory is illuminated through its application in modeling Burger's equation; Hopf's Φ equations in "ordinary" turbulence are derived and their solutions extended to two orders of approximation; magnetohydrodynamic turbulence is exactly formulated and the physics of "transfer" of kinetic and magnetic energy explained. Furthermore, Heisenberg's theory is extended to magnetohydrodynamic turbulence. Finally, some thoughts on temperature dispersion in magnetohydrodynamic turbulence are advanced.