Conjugate and cut points in ideal fluid motion
From MaRDI portal
Publication:2118379
DOI10.1007/s40316-021-00176-4zbMath1485.58011OpenAlexW3212021230MaRDI QIDQ2118379
Tsuyoshi Yoneda, Gerard Misiołek, Bin Shi, Theodore D. Drivas
Publication date: 22 March 2022
Published in: Annales Mathématiques du Québec (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40316-021-00176-4
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)
Related Items
Arnold stability and Misiołek curvature ⋮ Geometric hydrodynamics in open problems ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Conjugate point criteria on the area-preserving diffeomorphism group
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations
- On stationary solutions of two-dimensional Euler equation
- The exponential map near conjugate points in 2D hydrodynamics
- Nonpositive curvature on the area-preserving diffeomorphism group
- Strong trajectory attractors for dissipative Euler equations
- On the volumorphism group, the first conjugate point is always the hardest
- Diffeomorphism groups of compact manifolds
- Generalized fluid flows, their approximation and applications
- Lattice theory and flows of ideal incompressible fluid
- Topological methods in hydrodynamics
- The geometry of axisymmetric ideal fluid flows with swirl
- Global nonlinear stability for steady ideal fluid flow in bounded planar domains
- Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
- Flexibility and rigidity in steady fluid motion
- On inviscid limits for the stochastic Navier-Stokes equations and related models
- Contributions to riemannian geometry in the large
- A Liouville theorem for the Euler equations in the plane
- A very smooth ride in a rough sea
- Singularities of the exponential map on the volume-preserving diffeomorphism group
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- The cut locus and conjugate locus of a riemannian manifold
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Curvatures of Sobolev metrics on diffeomorphism groups
- Fredholm properties of Riemannian exponential maps on diffeomorphism groups
- On the Analyticity of Particle Trajectories in the Ideal Incompressible Fluid
- Attractors of partial differential evolution equations and estimates of their dimension
- Loss of Smoothness and Inherent Instability of 2D Inviscid Fluid Flows
- Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
- On the curvature of the group of measure-preserving diffeomorphisms of ann-dimensional torus
- Instability criteria for steady flows of a perfect fluid
- Normal Forms for the L2 Riemannian Exponential Map on Diffeomorphism Groups
- Integrability of perfect fluid motion
- Conjugate points in $\mathcal {D}_{\mu }(T^2)$
- On the energy of elliptical vortices
- Ergodic theory and the geodesic flow on surfaces of constant negative curvature
