Bifractality of the devil’s staircase appearing in the burgers equation with brownian initial velocity View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1997-09

AUTHORS

E. Aurell, U. Frisch, A. Noullez, M. Blank

ABSTRACT

It is shown that the inverse Lagrangian map for the solution of the Burgers equation (in the inviscid limit) with Brownian initial velocity presents a bifractality (phase transition) similar to that of the Devil’s staircase for the standard triadic Cantor set. Both heuristic and rigorous derivations are given. It is explained why artifacts can easily mask this phenomenon in numerical simulations. More... »

PAGES

1151-1164

References to SciGraph publications

  • 1992-09. The inviscid Burgers equation with initial data of Brownian type in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1992-09. Statistics of shocks in solutions of inviscid Burgers equation in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02732429

    DOI

    http://dx.doi.org/10.1007/bf02732429

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1042874238


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