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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 88, Number 1, Pages 7–13
(Mi tmf5698)
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This article is cited in 3 scientific papers (total in 3 papers)
Central limit theorem for Burgers equation
O. O. Griniv
Abstract:
Suppose the potential of the initial field of the Cauchy problem for the
Burgers equation is a homogeneous mean-square continuous Gaussian random
field. We show that the correlation function of this field is summable absolutely or its square is summable. Then in the limit $t\to\infty$ the field of solutions of the original equation tends in its distribution to a Gaussian random vector field.
Received: 12.12.1990
Citation:
O. O. Griniv, “Central limit theorem for Burgers equation”, TMF, 88:1 (1991), 7–13; Theoret. and Math. Phys., 88:1 (1991), 678–682
Linking options:
https://www.mathnet.ru/eng/tmf5698 https://www.mathnet.ru/eng/tmf/v88/i1/p7
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Abstract page: | 234 | Full-text PDF : | 86 | References: | 35 | First page: | 1 |
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