Theoretical Criteria for the Occurrence of Turbulence in Burger's Equation

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ID: 283252
2007
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Abstract
Throughout the history of the study of turbulence in fluid dynamics, there has yet to arise a unique definition or theoretical criterion for this important phenomenon. There have been interesting conjectures made by Ruelle [2], Muriel [3], and Getreuer, Albano and Muriel [6], however, attempting to provide the sufficient criteria for the onset of turbulence. In this paper, a classic equation in fluid dynamics, Burger's equation, is solved in one and two dimensions, and these conjectures are illustrated. This illustration supports these conjectures by showing that the proposed criteria do arise mathematically from the solutions of an equation modelling fluid flows.
Reference Key
muriel2007theoretical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors J. C. Imperio; Mikhail P. Solon; A. Laganapan; J. P. H. Esguerra; A. Muriel
Journal arXiv
Year 2007
DOI
DOI not found
URL
http://arxiv.org/abs/0712.1466v2
Keywords
physics.flu-dyn

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