Arnold stability and Misiołek curvature

DOI10.1007/s00605-022-01711-3zbMath1497.35356arXiv2110.04680OpenAlexW4280593793MaRDI QIDQ2172595

Tsuyoshi Yoneda, Taito Tauchi

Publication date: 16 September 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.04680

zbMATH Keywords

Euler equationconjugate pointdiffeomorphism groupArnold stable flow

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear effects in hydrodynamic stability (76E30) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Euler equations (35Q31) PDEs on manifolds (35R01)

Related Items (3)

Conjugate points along Kolmogorov flows on the torus ⋮ Geometric hydrodynamics in open problems ⋮ Conjugate point criteria on the area-preserving diffeomorphism group

Cites Work

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• Groups of diffeomorphisms and the motion of an incompressible fluid
• Introduction to Smooth Manifolds
• Conjugate points in $\mathcal {D}_{\mu }(T^2)$

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