The spectra of the oscillating shear flows

Sergey Guda

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arXiv · 0909.3436

The spectra of the oscillating shear flows

Sergey Guda

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Abstract

We study the spectral problems for the spatially periodic flows of inviscid incompressible fluid. The basic flows under consideration are the shear flows whose profiles oscillate on high frequencies. For such flows, we present asymptotic expansions of the unstable eigenvalues in the case when the limit spectral problem has multiple eigenvalues.

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Sergey Guda. 2009-09-18. The spectra of the oscillating shear flows. https://arxiv.org/abs/0909.3436

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