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Scale renormalization and random solutions of the Burgers equation

Published online by Cambridge University Press:  14 July 2016

M. Rosenblatt
M. Rosenblatt*
Affiliation:
University of California, San Diego
*
∗ Postal address: Department of Mathematics, University of California, San Diego, La Jolla, CA 92093, USA.
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Abstract

Solutions of the Burgers equation with a stationary (spatially) stochastic initial condition are considered. A class of limit laws for the solution which correspond to a scale renormalization is considered.

Keywords

STATIONARY INITIAL CONDITIONSHORT-RANGE DEPENDENCELONG-RANGE DEPENDENCE

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 2 , June 1987 , pp. 328 - 338
Copyright
Copyright © Applied Probability Trust 1987 

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Footnotes

This research is supported in part by Office of Naval Research Contract N00014-81-K-003 and National Science Foundation Grant DMS 83-12106.

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