One-Dimensional Turbulence and the Stochastic Burgers Equation Darrell M. West With over 30 years of

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One-Dimensional Turbulence and the Stochastic Burgers Equation Darrell M. West With over 30 years ofThis book is dedicated to the qualitative theory of the stochastic one dimensional Burgers equation with small viscosity under periodic boundary conditions and to interpreting the obtained results in terms of one dimensional turbulence in a fictitious one dimensional fluid described by the Burgers equation. The properties of one dimensional turbulence which we rigorously derive are then compared with the heuristic Kolmogorov theory of hydrodynamical