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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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.
|Subjects:||Q Science > QC Physics|
|Divisions:||Faculty of Engineering and the Environment > Civil, Maritime and Environmental Engineering and Science > Fluid / Structure Interactions Research
|Date Deposited:||29 Nov 2011 15:38|
|Last Modified:||29 Nov 2011 15:38|
|Contributors:||Chen, Zhi-Min (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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