An extremal rearrangement property of statistical solutions of Burgers' equation

DOI10.1214/aoap/1177004974zbMath0805.60053OpenAlexW2001442289MaRDI QIDQ1336593

Yiming Hu, Wojbor A. Woyczyński

Publication date: 22 November 1994

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1177004974

zbMATH Keywords

Burgers' equationSchur convexitydomination principlesmaximum energy density

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Turbulence (76F99) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (4)

Exact null controllability of KdV-Burgers equation with memory effect systems ⋮ Exact parabolic asymptotics for singular \(n\)-D Burgers' random fields: Gaussian approximation ⋮ Hausdorff dimension of regular points in stochastic Burgers flows with Lévy \(\alpha\)-stable initial data ⋮ Hyperbolic asymptotics in Burgers' turbulence and extremal processes

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