On the rate of convergence to the normal law for solutions of the Burgers equation with singular initial data期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the rate of convergence to the normal law for solutions of the Burgers equation with singular initial data

Authors:	Nikolai N. Leonenko Enzo Orsingher Victoria N. Parkhomenko

Affiliation:	(1) Department of Mathematics, Kiev University, 252601 Kiev, Ukraine;(2) University of Rome La Sapienza, 00185 Rome, Italy

Abstract:	We study the scaling limit of random fields which are the solutions of a nonlinear partial differential equation known as the Burgers equation, under stochastic initial condition. These are assumed to be a Gaussian process with long-range dependence. We present some results on the rate of convergence to the normal law.

Keywords:	Nonlinear waves scaling limit Gaussian initial conditions Hermite expansion long-range dependence rate of convergence
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