Bifurcations of a steady-state solution to the two-dimensional Navier-Stokes equations
Chen, Zhi-Min (1999) Bifurcations of a steady-state solution to the two-dimensional Navier-Stokes equations. Communications in Mathematical Physics, 201, (1), 117-138. (doi:10.1007/s002200050551).
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Description/Abstract
This paper studies the spatially periodic Navier-Stokes flows in R2 driven by a unidirectional external force. This dynamical system admits a steady-state solution u0 for all Reynolds numbers. u0 is the basic flow in our consideration, and primary bifurcations of u0 are investigated. In particular, it is found that there exists a flow invariant subspace containing cos(mx+ny) or sin(mx+ny), and the occurrence of stability and bifurcations of u0 in such a subspace essentially depends on the choice of the integers m and n. Our findings are obtained by analysis together with numerical computation.
| Item Type: | Article |
|---|---|
| ISSNs: | 0010-3616 (print) 1432-0916 (electronic) |
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Engineering and the Environment > Civil, Maritime and Environmental Engineering and Science > Fluid / Structure Interactions Research |
| Item ID: | 204453 |
| Date Deposited: | 29 Nov 2011 15:38 |
| Last Modified: | 29 Nov 2011 15:38 |
| Contributors: | Chen, Zhi-Min (Author) |
| Date: | 1999 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/204453 |
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