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Spectral Properties of Burgers and KPZ Turbulence

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Abstract

This paper presents the higher-order spectral densities of non-Gaussian random fields arising as scaling limits in the Burgers and KPZ turbulence problems with strongly dependent non-Gaussian initial conditions.

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Authors and Affiliations

  1. School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia

    V. V. Anh

  2. Cardiff School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK

    N. N. Leonenko

  3. Department of Mechanics and Mathematics, Kyiv Taras Shevchenko National University, Volodymyrska str. 64, Kyiv, 01033, Ukraine

    L. M. Sakhno

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  1. V. V. Anh
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Anh, V.V., Leonenko, N.N. & Sakhno, L.M. Spectral Properties of Burgers and KPZ Turbulence. J Stat Phys 122, 949–974 (2006). https://doi.org/10.1007/s10955-005-9009-3

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