Knotted structures in high-energy Beltrami fields on the torus and the sphere
From MaRDI portal
Publication:4594518
DOI10.24033/asens.2337zbMath1379.35226arXiv1505.01605OpenAlexW2963891360MaRDI QIDQ4594518
Alberto Enciso, Francisco Torres de Lizaur, Daniel Peralta-Salas
Publication date: 24 November 2017
Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.01605
Boundary value problems for second-order elliptic equations (35J25) Magnetohydrodynamics and electrohydrodynamics (76W05) Euler equations (35Q31)
Related Items
Existence of knotted vortex structures in stationary solutions of the Euler equations ⋮ Vortex reconnections in classical and quantum fluids ⋮ Contact structures and Beltrami fields on the torus and the sphere ⋮ Knots and links of invariant tori in Beltrami flows with cubic symmetry ⋮ Beltrami fields and knotted vortex structures in incompressible fluid flows ⋮ Beltrami fields exhibit knots and chaos almost surely ⋮ Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori ⋮ Geometric hydrodynamics in open problems ⋮ Steady Euler flows on \({\mathbb{R}}^3\) with wild and universal dynamics ⋮ Steady Euler flows on the 3-sphere and other Sasakian 3-manifolds ⋮ Vortex reconnection in the three dimensional Navier-Stokes equations ⋮ Existence and characterisation of magnetic energy minimisers on oriented, compact Riemannian 3-manifolds with boundary in arbitrary helicity classes ⋮ Stability properties of the regular set for the Navier-Stokes equation ⋮ Self-intersecting interfaces for stationary solutions of the two-fluid Euler equations ⋮ The singular Weinstein conjecture ⋮ Isoperimetric problem for the first curl eigenvalue ⋮ An improved Liouville type theorem for Beltrami flows ⋮ Computability and Beltrami fields in Euclidean space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On stationary solutions of two-dimensional Euler equation
- Local structure of the set of steady-state solutions to the 2D incompressible Euler equations
- Knots and links in steady solutions of the Euler equation
- Hyperbolic distribution problems and half-integral weight Maass forms
- Topological methods in hydrodynamics
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Rational points on the sphere
- Existence of knotted vortex tubes in steady Euler flows
- Knotted vortex lines and vortex tubes in stationary fluid flows
- Submanifolds that are level sets of solutions to a second-order elliptic PDE
- Liouville theorem for Beltrami flow
- Remarks on a Liouville-Type Theorem for Beltrami Flows
- Harmonic analysis of the de Rham complex on the sphere.
- Contact topology and hydrodynamics III: knotted orbits
- The degree of knottedness of tangled vortex lines
