Lorenz-like chaos in a partial differential equation for a heated fluid loop
type: Item
instance of: scholarly article
title: Lorenz-like chaos in a partial differential equation for a heated fluid loop
zbMATH Open document ID: 0633.76048
DOI: 10.1016/0167-2789(87)90080-7
author: James A. Yorke
author: Ellen D. Yorke
author: John Mallet-Paret
published in: Physica D
publication date: 1987-01-01T00:00:00Z
review text: A set of partial differential equations is developed describing fluid flow and temperature variation in a thermosyphon with particularly simple external heating. Several exact mathematical results indicate that a Bessel-Fourier expansion should converge rapidly to a solution. Numerical solutions for the time-dependent coefficients of that expansion exhibit a transition to chaos like that shown by the Lorenz equations over a wide range of fluid material parameters.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4031256
zbMATH Keywords: Lorenz-like chaos
zbMATH Keywords: heated fluid loop
zbMATH Keywords: thermosyphon
zbMATH Keywords: external heating
zbMATH Keywords: Lorenz equations
Wikidata QID: Q115363841
MaRDI profile type: Publication
full work available at URL: 0167-2789(87)90080-7
OpenAlex ID: W1997041501
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description: scientific article; zbMATH DE number 4031256