Limit theorem for the statistical solution of Burgers equation

DOI10.1016/S0304-4149(99)00002-2zbMath0961.60034OpenAlexW2051230326MaRDI QIDQ1593633

Said Hamadène, Youssef Ouknine, Azzouz Dermoune

Publication date: 17 January 2001

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(99)00002-2

zbMATH Keywords

Burgers equationchaos decompositionHopf-Cole solution

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)

Related Items

Macroscaling Limit Theorems for Filtered Spatiotemporal Random Fields ⋮ Burgers' turbulence problem with linear or quadratic external potential

Cites Work

• Gaussian and their subordinates self-similar random generalized fields
• Derivatives of regularly varying functions in \(R^d\) and domains of attraction of stable distributions
• Stratified structure of the Universe and Burgers' equation -- a probabilistic approach
• Hyperbolic asymptotics in Burgers' turbulence and extremal processes
• Gibbs-Cox random fields and Burgers turbulence
• Multiple Wiener integral
• Convergence of integrated processes of arbitrary Hermite rank
• Non-central limit theorems for non-linear functional of Gaussian fields
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