Abstract
Simulations of forced 2-D Navier-Stokes equations are analyzed. The forcing is spatially periodic and temporally steady. Two regimes are analyzed: a bursting regime and a regime that exhibits discrete traveling waves. A Karhunen Loeve analysis is used to identify the structures in phase space that generate the PDE behavior. Their relationship to the invariant subspaces generated by the symmetry group is discussed.
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© 1994 Springer Science+Business Media Dordrecht
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Armbruster, D., Nicolaenko, B., Smaoui, N., Chossat, P. (1994). Analyzing Bifurcations in the Kolmogorov Flow Equations. In: Chossat, P. (eds) Dynamics, Bifurcation and Symmetry. NATO ASI Series, vol 437. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0956-7_2
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DOI: https://doi.org/10.1007/978-94-011-0956-7_2
Publisher Name: Springer, Dordrecht
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