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Abstract

The bifurcation structure for the fixed points of N-mode truncations of the Navier-Stokes equations on a 2-dimensional torus as N increases, already studied for a particular solution, is discussed in the complete case, where the fixed points appear as one-parameter families. The stability properties of the fixed points are essentially confirmed except for one of them, and also in this case convergence with truncation is found. However, the change in stability has relevant effects on the time-dependent behaviour. With the aim of getting to a more realistic situation a geometry with two parallel rigid boundaries is also considered, as a step towards investigation of resistive MHD equations.

Additional information

Authors: TEBALDI C, Department of Mathematics, University of Bologna (IT)
Bibliographic Reference: Report: JET-P(89)02 EN (1989)
Availability: Available from the Publications Officer, JET Joint Undertaking, Abingdon, Oxon. OX14 3EA (GB)
Record Number: 198910757 / Last updated on: 1994-12-01
Category: PUBLICATION
Original language: en
Available languages: en
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