scientific article; zbMATH DE number 2064848

zbMath1109.76311arXivmath-ph/0306027MaRDI QIDQ4462293

Yuri Latushkin, Roman Shvydkoy

Publication date: 18 May 2004

Full work available at URL: https://arxiv.org/abs/math-ph/0306027

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) General topics in linear spectral theory for PDEs (35P05) Incompressible inviscid fluids (76B99) Parallel shear flows in hydrodynamic stability (76E05)

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Cocycles and Mañe sequences with an application to ideal fluids ⋮ Linear instability criteria for ideal fluid flows subject to two subclasses of perturbations ⋮ An Evans function for the linearised 2D Euler equations using Hill's determinant ⋮ Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations ⋮ Instability of Equilibria for the Two-Dimensional Euler Equations on the Torus ⋮ On the dynamics of Navier-Stokes and Euler equations ⋮ The \(L^2\) essential spectrum of the 2D Euler operator ⋮ Ergodic isospectral theory of the Lax pairs of Euler equations with harmonic analysis flavor ⋮ Continuous spectrum of the 3D Euler equation is a solid annulus ⋮ Stability results for idealized shear flows on a rectangular periodic domain ⋮ Isospectral theory of Euler equations ⋮ Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics

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