Bifurcations of Solutions of the 2-Dimensional Navier–Stokes System

Dong Li () and Yakov G. Sinai ()
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Dong Li: University of British Columbia, Deparment of Mathematics
Yakov G. Sinai: Princeton University, Mathematics Department

A chapter in Essays in Mathematics and its Applications, 2012, pp 241-269 from Springer

Abstract: Abstract For the 2-dimensional Navier–Stokes System written for the stream functions we construct a set of initial data for which initial critical points bifurcate into three critical points. This can be interpreted as the birth of new viscous vortices from a single one. In another class of solutions vortices merge, i.e. the number of critical points decrease.

Keywords: Initial Data; Periodic Orbit; Extremal Point; Stream Function; Degenerate Case (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-28821-0_10

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