Global, local and dense non-mixing of the 3D Euler equation
From MaRDI portal
Publication:2204765
DOI10.1007/s00205-020-01556-wzbMath1451.35122arXiv1911.04363OpenAlexW3043753782MaRDI QIDQ2204765
Daniel Peralta-Salas, Boris A. Khesin, Sergej B. Kuksin
Publication date: 16 October 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.04363
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Euler equations (35Q31)
Related Items (6)
Chaos in the incompressible Euler equation on manifolds of high dimension ⋮ Geometric hydrodynamics in open problems ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Steady Euler flows on the 3-sphere and other Sasakian 3-manifolds ⋮ Quasi-periodic incompressible Euler flows in 3D ⋮ Flexibility and rigidity of free boundary MHD equilibria
Cites Work
- Unnamed Item
- Unnamed Item
- Local structure of the set of steady-state solutions to the 2D incompressible Euler equations
- KAM theory and the 3D Euler equation
- Plongements différentiables de variétés dans variétés
- Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
- Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
- Existence of invariant tori in three-dimensional measure-preserving mappings
- Vey theorem in infinite dimensions and its application to KdV
- Wandering solutions of Euler's D-2 equation
- Sur le lemme de Morse
- Topological methods in hydrodynamics
- Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces
- Groups of diffeomorphisms and the motion of an incompressible fluid
- A note on sufficiency of jets
- Differentiable even functions
- Vorticity and Incompressible Flow
- Helicity is the only integral invariant of volume-preserving transformations
- Stable and Random Motions in Dynamical Systems
- Evolution of singularities, generalized Liapunov function and generalized integral for an ideal incompressible fluid
- Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces
- Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows
- Analysis of Hydrodynamic Models
- Generic Properties of Conservative Systems
This page was built for publication: Global, local and dense non-mixing of the 3D Euler equation
