Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations

DOI10.3934/cpaa.2020091zbMath1447.35255arXiv1901.01367OpenAlexW2906986756MaRDI QIDQ2175703

Joachim Worthington, Shibi Vasudevan, Holger R. Dullin, Robert Marangell, Yuri Latushkin

Publication date: 29 April 2020

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01367

zbMATH Keywords

instabilityessential spectrumcontinued fractionsunidirectional flows2D \(\alpha\)-Euler equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectrum, resolvent (47A10) Parallel shear flows in hydrodynamic stability (76E05) Convergence and divergence of continued fractions (40A15) Euler equations (35Q31)

Related Items (3)

Instability of unidirectional flows for the 2D Navier-Stokes equations and related \(\alpha\)-models ⋮ An Evans function for the linearised 2D Euler equations using Hill's determinant ⋮ Stability Theory of the 3-Dimensional Euler Equations

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