Abstract
The randomly forced, one-dimensional Burgers flow is dealt with by the method of the characteristic functional equation. The time development of the stochastic secondary flow is studied numerically by the Monte Carlo quadrature of the integral representation of solution for two types (white and “red”) of random force fields. A turbulence-like behavior of the flow appears for a supercritical Reynolds number, and its structure is studied in detail.
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Hosokawa, I., Yamamoto, K. Turbulence in the randomly forced, one-dimensional Burgers flow. J Stat Phys 13, 245–272 (1975). https://doi.org/10.1007/BF01012841
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DOI: https://doi.org/10.1007/BF01012841