The coadjoint operator, conjugate points, and the stability of ideal fluids
DOI10.1007/s40598-016-0043-9zbMath1350.35149OpenAlexW2405498816WikidataQ125967716 ScholiaQ125967716MaRDI QIDQ726613
Publication date: 12 July 2016
Published in: Arnold Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40598-016-0043-9
PDEs in connection with fluid mechanics (35Q35) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Hydrodynamic stability (76E99) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Group structures and generalizations on infinite-dimensional manifolds (58B25) Euler-Poisson-Darboux equations (35Q05) Calculus on manifolds; nonlinear operators (58C99) Manifolds of metrics (especially Riemannian) (58D17) Nonlinear operators and their properties (47H99)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Fredholm properties of the \(L^2\) exponential map on the symplectomorphism group
- Geodesics on the symplectomorphism group
- Generalized fluid flows, their approximation and applications
- Topological methods in hydrodynamics
- For ideal fluids, Eulerian and Lagrangian instabilities are equivalent
- Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
- Conjugate points on geodesics of Hofer's metric
- Singularities of the exponential map on the volume-preserving diffeomorphism group
- Groups of diffeomorphisms and the motion of an incompressible fluid
- The Geometry of Infinite-Dimensional Groups
- Conjugate points in $\mathcal {D}_{\mu }(T^2)$
This page was built for publication: The coadjoint operator, conjugate points, and the stability of ideal fluids