Ergodic isospectral theory of the Lax pairs of Euler equations with harmonic analysis flavor

DOI10.1090/S0002-9939-05-07828-7zbMath1080.35059MaRDI QIDQ4674768

Y. Charles Li

Publication date: 18 May 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Euler equationergodic theoremLax pairoscillatory integralisospectral theory

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Solitary waves for incompressible inviscid fluids (76B25) Ergodic theorems, spectral theory, Markov operators (37A30) Euler-Poisson-Darboux equations (35Q05) Applications of functional analysis to differential and integral equations (46N20)

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Cites Work

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• On 2D Euler equations. I. On the energy–Casimir stabilities and the spectra for linearized 2D Euler equations
• A Lax pair for the two dimensional Euler equation
• Lax Pairs and Darboux Transformations for Euler Equations
• Hamiltonian Systems and Transformation in Hilbert Space

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