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Five-dimensional truncation of the plane incompressible navier-stokes equations

Abstract

A five-modes truncation of the Navier-Stokes equations for a two dimensional incompressible fluid on a torus is considered. A computer analysis shows that for a certain range of the Reynolds number the system exhibits a stochastic behaviour, approached through an involved sequence of bifurcations.
Authors:
Boldrighini, C; [1]  Franceschini, V [2] 
  1. Camerino Univ. (Italy). Istituto di Matematica
  2. Modena Univ. (Italy). Istituto Matematico
Publication Date:
Jan 01, 1979
Product Type:
Journal Article
Reference Number:
AIX-10-467018; EDB-79-133842
Resource Relation:
Journal Name: Commun. Math. Phys.; (Germany, Federal Republic of); Journal Volume: 64:2
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; INCOMPRESSIBLE FLOW; NAVIER-STOKES EQUATION; MANY-DIMENSIONAL CALCULATIONS; COMPUTER CALCULATIONS; FOURIER ANALYSIS; LYAPUNOV METHOD; REYNOLDS NUMBER; STOCHASTIC PROCESSES; TURBULENCE; DIFFERENTIAL EQUATIONS; EQUATIONS; FLUID FLOW; 640410* - Fluid Physics- General Fluid Dynamics
OSTI ID:
6037416
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: CMPHA
Submitting Site:
INIS
Size:
Pages: 159-170
Announcement Date:
Sep 01, 1979

Citation Formats

Boldrighini, C, and Franceschini, V. Five-dimensional truncation of the plane incompressible navier-stokes equations. Germany: N. p., 1979. Web.
Boldrighini, C, & Franceschini, V. Five-dimensional truncation of the plane incompressible navier-stokes equations. Germany.
Boldrighini, C, and Franceschini, V. 1979. "Five-dimensional truncation of the plane incompressible navier-stokes equations." Germany.
@misc{etde_6037416,
title = {Five-dimensional truncation of the plane incompressible navier-stokes equations}
author = {Boldrighini, C, and Franceschini, V}
abstractNote = {A five-modes truncation of the Navier-Stokes equations for a two dimensional incompressible fluid on a torus is considered. A computer analysis shows that for a certain range of the Reynolds number the system exhibits a stochastic behaviour, approached through an involved sequence of bifurcations.}
journal = []
volume = {64:2}
journal type = {AC}
place = {Germany}
year = {1979}
month = {Jan}
}