Abstract
We find non-Gaussian limiting distributions of the solutions of the many-dimensional Burgers equation with the initial condition given by a homogeneous isotropic Gaussian random χ2-type field with strong dependence.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 8, pp. 1003–1010, August, 1994.
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Leonenko, N.N., Orsingher, E. & Rybasov, K.V. Limiting distributions of the solutions of the many-dimensional Bürgers equation with random initial data. II. Ukr Math J 46, 1101–1109 (1994). https://doi.org/10.1007/BF01056171
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DOI: https://doi.org/10.1007/BF01056171