Helical symmetry vortices for 3D incompressible Euler equations
From MaRDI portal
Publication:2698310
DOI10.1016/j.jde.2023.02.045OpenAlexW4322767521MaRDI QIDQ2698310
Publication date: 21 April 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.02.045
PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Nonlinear elliptic equations (35J60)
Cites Work
- Nonlinear stability for steady vortex pairs
- On the motion of a curve by its binormal curvature
- Existence of corotating and counter-rotating vortex pairs for active scalar equations
- On the vortex filament conjecture for Euler flows
- Desingularization of vortices for the Euler equation
- Asymptotic behaviour in planar vortex theory
- Rearrangements of functions, maximization of convex functionals, and vortex rings
- On the existence of global vortex rings
- Asymptotic estimates for the plasma problem
- A duality principle for non-convex optimisation and the calculus of variations
- Mathematical theory of incompressible nonviscous fluids
- Global nonlinear stability for steady ideal fluid flow in bounded planar domains
- A global theory of steady vortex rings in an ideal fluid
- Travelling helices and the vortex filament conjecture in the incompressible Euler equations
- Stability of Lamb dipoles
- Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows
- Vortex motion for the lake equations
- Dual variational methods in critical point theory and applications
- Gluing methods for vortex dynamics in Euler flows
- Regularization of point vortices pairs for the Euler equation in dimension two
- Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem
- Helical vortices with small cross-section for 3D incompressible Euler equation
- Vorticity and Incompressible Flow
- On steady vortex flow in two dimensios, II
- A Property of Solutions of Elliptic Differential Equations with Discontinuous Nonlinearities
- EXISTENCE AND ASYMPTOTIC BEHAVIOR IN PLANAR VORTEX THEORY
- Steady planar vortex pairs in an ideal fluid
- Existence of steady symmetric vortex pairs on a planar domain with an obstacle
- Existence globale en temps de solutions hélicoïdales des équations d'Euler
- The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
- Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method
- Global Existence and Uniqueness of Weak Solutions of Three-Dimensional Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching
- On steady vortex rings of small cross-section in an ideal fluid
- State Constraints in Convex Control Problems of Bolza
- On the Motion of Vortices in Two Dimensions
This page was built for publication: Helical symmetry vortices for 3D incompressible Euler equations
