Hopf bifurcation of a non-parallel Navier-Stokes flow
Journal of Mathematical Analysis and Applications(2024)
摘要
A plane non-parallel flow in a square fluid domain exhibits an odd number of vortices. A spectral structure is found to have a non-real solution of the spectral problem linearized around the flow. With the use of this structure, Hopf bifurcation or secondary time periodic flows branching of a basic square eddy flow is found. In contrast to a square eddy flow involving an even number of vortices in earlier analytical and experimental investigations, instability of the flow leads to steady-state bifurcations.
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关键词
Hopf bifurcation,Non-parallel flows,Navier-Stokes equations,Square eddy flows,Bifurcating time periodic flows
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