A simple one‐dimensional model for the three‐dimensional vorticity equation

P. Constantin; P. D. Lax; A. Majda

doi:10.1002/cpa.3160380605

A simple one‐dimensional model for the three‐dimensional vorticity equation

P. Constantin, P. D. Lax, A. Majda

Research output: Contribution to journal › Article › peer-review

Abstract

A simple qualitative one‐dimensional model for the 3‐D vorticity equation of incompressible fluid flow is developed. This simple model is solved exactly; despite its simplicity, this equation retains several of the most important structural features in the vorticity equations and its solutions exhibit some of the phenomena observed in numerical computations for breakdown for the 3‐D Euler equations.

Original language	English (US)
Pages (from-to)	715-724
Number of pages	10
Journal	Communications on Pure and Applied Mathematics
Volume	38
Issue number	6
DOIs	https://doi.org/10.1002/cpa.3160380605
State	Published - Nov 1985

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.3160380605

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abstract = "A simple qualitative one‐dimensional model for the 3‐D vorticity equation of incompressible fluid flow is developed. This simple model is solved exactly; despite its simplicity, this equation retains several of the most important structural features in the vorticity equations and its solutions exhibit some of the phenomena observed in numerical computations for breakdown for the 3‐D Euler equations.",

author = "P. Constantin and Lax, {P. D.} and A. Majda",

year = "1985",

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A simple one‐dimensional model for the three‐dimensional vorticity equation

Abstract

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