On the large time asymptotics of decaying Burgers turbulence

DOI10.1007/s002200000214zbMath0974.76037arXivchao-dyn/9909027OpenAlexW3101729526WikidataQ115927974 ScholiaQ115927974MaRDI QIDQ1581662

Roger P. Tribe, Oleg V. Zaboronski

Publication date: 8 October 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9909027

zbMATH Keywords

momentsGaussian white noiselarge time asymptoticsprobability distribution functionsshock strengthdecaying Burgers turbulenceextreme anomalous scalinglimit of vanishing viscosityone-point probability distribution functiontime-like structure functions

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Incompressible viscous fluids (76D99)

Related Items (8)

INVARIANT MANIFOLDS FOR STOCHASTIC MODELS IN FLUID DYNAMICS ⋮ Some statistical properties of the Burgers equation with white-noise initial velocity ⋮ On a stochastic nonlinear equation arising from 1D integro-differential scalar conservation laws ⋮ Stochastic heat and Burgers equations and their singularities. I. Geometrical properties ⋮ The Burgers equation with affine linear noise: dynamics and stability ⋮ Stochastic heat and Burgers equations and their singularities. II. Analytical properties and limiting distributions ⋮ Phase space reduction and the instanton crossover in (1+1)-dimensional turbulence ⋮ On the convex hull of a Brownian excursion with parabolic drift.

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