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

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dc.creatorImperio, J. C.
dc.creatorSolon, Mikhail P.
dc.creatorLaganapan, A.
dc.creatorEsguerra, J. P. H.
dc.creatorMuriel, A.
dc.date2007-12-10
dc.date2007-12-27
dc.date.accessioned2026-07-07T08:51:05Z
dc.date.available2026-07-07T08:51:05Z
dc.descriptionThroughout 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.
dc.description7 pages; PACS numbers added
dc.identifierhttps://arxiv.org/abs/0712.1466
dc.identifierhttp://arxiv.org/abs/0712.1466
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144814
dc.subjectFluid Dynamics
dc.titleTheoretical Criteria for the Occurrence of Turbulence in Burger's Equation
dc.typetext

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