ON THE RATE OF CONVERGENCE TO THE NORMAL LAW FOR SOLUTIONS OF THE BURGERS-EQUATION WITH SINGULAR INITIAL DATA

Authors
LEONENKO NN ORSINGHER E PARKHOMENKO VN
Citation
Nn. Leonenko et al., ON THE RATE OF CONVERGENCE TO THE NORMAL LAW FOR SOLUTIONS OF THE BURGERS-EQUATION WITH SINGULAR INITIAL DATA, Journal of statistical physics, 82(3-4), 1996, pp. 915-930
Citations number
29
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
82
Issue
3-4
Year of publication
1996
Pages
915 - 930
Database
ISI
SICI code
0022-4715(1996)82:3-4<915:OTROCT>2.0.ZU;2-Q
Abstract
We study the scaling limit of random fields which are the solutions of a nonlinear partial differential equation known as the Burgers equati on, under stochastic initial condition. These are assumed to be a Gaus sian process with long-range dependence. We present some results on th e rate of convergence to the normal law.