Abstract
We find Gaussian limiting distributions of the solutions of the many-dimensional Bürgers equation with the initial condition given by a homogeneous isotropic Gaussian random field with strong dependence.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 870–877, July, 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. I. Ukr Math J 46, 953–961 (1994). https://doi.org/10.1007/BF01056672
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DOI: https://doi.org/10.1007/BF01056672