Eigenvalues of the Linearized 2D Euler Equations via Birman–Schwinger and Lin’s Operators

We study spectral instability of steady states to the linearized 2D Euler equations on the torus written in vorticity form via certain Birman–Schwinger type operators K λ ( μ ) and their associated 2-modified perturbation determinants D ( λ , μ ) . Our main result characterizes the existence of an u...

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Bibliographic Details
Published in:	Journal of mathematical fluid mechanics Vol. 20; no. 4; pp. 1667 - 1680
Main Authors:	Latushkin, Yuri, Vasudevan, Shibi
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-12-2018 Springer Nature B.V
Subjects:	Classical and Continuum Physics Eigenvalues Euler-Lagrange equation Eulers equations Existence theorems Fluid mechanics Fluid- and Aerodynamics Linearization Mathematical analysis Mathematical Methods in Physics Operators Perturbation Physics Physics and Astronomy Stability Theoretical mathematics Toruses Vorticity Instability 2D Euler equations Birman–Schwinger operators 2-modified perturbation determinants
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