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

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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)715-724
Number of pages10
JournalCommunications on Pure and Applied Mathematics
Volume38
Issue number6
DOIs
StatePublished - 1985

Fingerprint

One-dimensional Model
Vorticity
Three-dimensional
Euler equations
Flow of fluids
Incompressible Flow
Euler Equations
Incompressible Fluid
Numerical Computation
Breakdown
Fluid Flow
Simplicity
Model

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

A simple one‐dimensional model for the three‐dimensional vorticity equation. / Constantin, P.; Lax, P. D.; Majda, A.

In: Communications on Pure and Applied Mathematics, Vol. 38, No. 6, 1985, p. 715-724.

Research output: Contribution to journalArticle

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