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arXiv · 1309.7558

On the Evolution of Structure in Turbulence Phenomena

Luis G. D. C. Borges
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Abstract

We study the evolution of coherent structures in arbitrary turbulence phenomena, developing some tools, from non-archimedean analysis and algebraic geometry, in order to model its display. We match the scale-dependent, topological structure of the physical fields subsumed by these coherent structures with the phase portraits of some convenient, non-archimedean dynamical systems whose set we endow with a law of action. Finally, we obtain the proposition of an extremum principle for this action to define a geodesic path, as the modelized coherent structures evolve, and we delineate the conception of two experiments, derived from the fields of fluid and plasma turbulence, to test its efectiveness.

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Luis G. D. C. Borges. 2013-09-29. On the Evolution of Structure in Turbulence Phenomena. https://arxiv.org/abs/1309.7558

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