Some Properties of Burgers Turbulence with White or Stable Noise Initial Data

Jean Bertoin ()
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Jean Bertoin: Université Pierre et Marie Curie et C.N.R.S. UMR 7599, Laboratoire de Probabilités et Modèles Aléatoires

A chapter in Lévy Processes, 2001, pp 267-279 from Springer

Abstract: Abstract This text is a survey of some qualitative and quantitative results on the solution to the inviscid Burgers equation with certain random initial data. Specifically, we first consider the case when the initial velocity field is a white noise. Then we discuss some extensions to stable (Lévy) noise.

Keywords: Brownian Motion; Regular Point; Shock Structure; Airy Function; Initial Potential (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0197-7_12

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DOI: 10.1007/978-1-4612-0197-7_12

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