Abstract
For N odd, a plane non-parallel Navier-Stokes flow in a square fluid domain exhibits \(N\times N\) alternative vortices. The spectral problem linearized around the flow shows the occurrence of critical real spectral solutions, which lead to the existence of secondary steady-state flows bifurcating from the non-parallel flow.
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Chen, ZM. Instability of a Square Eddy Flow and the Existence of Secondary Steady-State Flow. J. Math. Fluid Mech. 24, 94 (2022). https://doi.org/10.1007/s00021-022-00726-y
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DOI: https://doi.org/10.1007/s00021-022-00726-y