Gibbs-Cox random fields and Burgers turbulence
type: Item
instance of: scholarly article
title: Gibbs-Cox random fields and Burgers turbulence
zbMATH Open document ID: 0838.60016
author: Tadahisa Funaki
author: Donatas Surgailis
author: Wojbor A. Woyczyński
published in: The Annals of Applied Probability
publication date: 1996-05-27T00:00:00Z
review text: The functionals on shot-noise fields with spatial distribution driven by the Gibbs-Cox field are studied. This permits to establish the non-Gaussian scaling limits for the solutions of Burger's equation with shot-noise type initial data mentioned above. It provides a generalization of previous results in this direction. Connections with other related investigations by mathematicians and physicists and possible applications are discussed.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 76F20
zbMATH DE Number: 811746
zbMATH Keywords: Burgers turbulence
zbMATH Keywords: shot-noise fields
zbMATH Keywords: Gibbs-Cox field
zbMATH Keywords: Burger's equation
reviewed by: Alexander V. Bulinski
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1177004774
OpenAlex ID: W2046610789
DOI: 10.1214/AOAP/1177004774
Recommended article: Burgers turbulence and random Lagrangian systems
Recommended article: Q4296815
Recommended article: Probability density functions in steady-state Burgers turbulence
Recommended article: Q3154972
Recommended article: On the Stochastic Burgers Equation and Some Applications to Turbulence and Astrophysics
Recommended article: Two-time distribution functions in the Gaussian model of randomly forced Burgers turbulence
Recommended article: Q3382172
Recommended article: Q4249909
Recommended article: Hydrodynamic turbulence and intermittent random fields
description: scientific article; zbMATH DE number 811746