Bifractality of the devil's staircase appearing in the Burgers equation with Brownian initial velocity

DOI10.1007/BF02732429zbMath0924.60044arXivchao-dyn/9611011OpenAlexW2063126623MaRDI QIDQ1285066

K. Appert

Publication date: 8 November 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9611011

zbMATH Keywords

Burgers equationfractalsdevil's staircase

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

Some statistical properties of the Burgers equation with white-noise initial velocity ⋮ On the dynamics of a self-gravitating medium with random and non-random initial conditions ⋮ Rotating helical turbulence. II. Intermittency, scale invariance, and structures ⋮ Statistical properties of the Burgers equation with Brownian initial velocity

Cites Work

• Statistics of shocks in solutions of inviscid Burgers equation
• The inviscid Burgers equation with initial data of Brownian type
• Burgers equation with self-similar Gaussian initial data: Tail probabilities

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