Geodesic
Central limit theorem for Burgers equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 7-13 
O. O. Griniv. Central limit theorem for Burgers equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 7-13. http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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