Instability of Equilibria for the Two-Dimensional Euler Equations on the Torus

DOI10.1137/15M1043054zbMath1343.76012arXiv1505.01667OpenAlexW3121666287MaRDI QIDQ2994638

Joachim Worthington, Robert Marangell, Holger R. Dullin

Publication date: 3 August 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01667

zbMATH Keywords

Euler equationHamiltonian systemshydrodynamicsstability theory

Mathematics Subject Classification ID

Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Parallel shear flows in hydrodynamic stability (76E05) Euler equations (35Q31)

Related Items (7)

Poisson structure of the three-dimensional Euler equations in Fourier space ⋮ Instability of unidirectional flows for the 2D Navier-Stokes equations and related \(\alpha\)-models ⋮ Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations ⋮ STABILITY THEORY AND HAMILTONIAN DYNAMICS IN THE EULER IDEAL FLUID EQUATIONS ⋮ An Evans function for the linearised 2D Euler equations using Hill's determinant ⋮ Stability results for idealized shear flows on a rectangular periodic domain ⋮ Stability Theory of the 3-Dimensional Euler Equations

Cites Work

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