Travelling helices and the vortex filament conjecture in the incompressible Euler equations
From MaRDI portal
Publication:2135740
DOI10.1007/s00526-022-02217-4zbMath1490.35262arXiv2007.00606OpenAlexW3040219390WikidataQ113904940 ScholiaQ113904940MaRDI QIDQ2135740
Monica Musso, Juan Dávila, Manuel A. del Pino, Wei, Juncheng
Publication date: 9 May 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.00606
Related Items
Desingularization of 3D steady Euler equations with helical symmetry ⋮ Helical vortices with small cross-section for 3D incompressible Euler equation ⋮ Structure of Green's function of elliptic equations and helical vortex patches for 3D incompressible Euler equations ⋮ Interacting helical traveling waves for the Gross-Pitaevskii equation ⋮ Helical symmetry vortices for 3D incompressible Euler equations ⋮ Desingularization of vortex rings in 3 dimensional Euler flows ⋮ Desingularization of multiscale solutions to planar incompressible Euler equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the motion of a curve by its binormal curvature
- Global existence of weak solutions to the three-dimensional Euler equations with helical symmetry
- On the vortex filament conjecture for Euler flows
- Desingularization of vortices for the Euler equation
- Periodic solutions of the \(N\)-vortex Hamiltonian system in planar domains
- Nearly parallel vortex filaments in the 3D Ginzburg-Landau equations
- Vortices and localization in Euler flows
- A global theory of steady vortex rings in an ideal fluid
- Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation
- From point vortices to vortex patches in self-similar expanding configurations
- Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations
- Gluing methods for vortex dynamics in Euler flows
- Existence of knotted vortex tubes in steady Euler flows
- Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem
- Vortex helices for the Gross-Pitaevskii equation
- Vorticity and Incompressible Flow
- Traveling vortex helices for Schrödinger map equations
- Existence globale en temps de solutions hélicoïdales des équations d'Euler
- Simplified equations for the interaction of nearly parallel vortex filaments
- Global Existence and Uniqueness of Weak Solutions of Three-Dimensional Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching
- Motion of a helical vortex
- Global existence of a weak solution of the incompressible Euler equations with helical symmetry and $L^p$ vorticity
- Critical Points of the $N$-vortex Hamiltonian in Bounded Planar Domains and Steady State Solutions of the Incompressible Euler Equations
- On steady vortex rings of small cross-section in an ideal fluid
- Existence of steady vortex rings in an ideal fluid
