Cover Image

Nearly parallel helical vortex filaments in the three dimensional Euler equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Guerra, Ignacio, Musso, Monica
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Helical vortex filaments with compactly supported cross-sectional vorticity for the incompressible Euler equations in $\mathbb{R}^3$
by: Averkiou, Averkios, et al.
Published: (2025)

Clustered vortex helices with compactly supported cross-sectional vorticity in the 3D Euler equations
by: Averkiou, Averkios, et al.
Published: (2026)

Long time dynamics for helical vortex filament in Euler flows
by: Guo, Dengjun, et al.
Published: (2024)

Asymptotic properties of vortex-pair solutions for incompressible Euler equations in $\mathbb{R}^2$
by: Dávila, Juan, et al.
Published: (2023)

Solvability for the Ginzburg-Landau equation linearized at the degree-one vortex
by: del Pino, Manuel, et al.
Published: (2024)

Dynamics of helical vortex filaments in non viscous incompressible flows
by: Donati, Martin, et al.
Published: (2024)

Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions
by: Gustafson, Stephen, et al.
Published: (2023)

Nonlinear asymptotic stability and optimal decay rate around the three-dimensional Oseen vortex filament
by: Li, Te, et al.
Published: (2025)

Co-rotating nearly parallel helical vortices with small cross-section in 3D incompressible Euler equations
by: Cao, Daomin, et al.
Published: (2025)

On the Cauchy problem for 3D Navier-Stokes helical vortex filament
by: Gancedo, Francisco, et al.
Published: (2023)

Dissipative Euler flows originating from circular vortex filaments
by: Gancedo, Francisco, et al.
Published: (2024)

Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system
by: Buseghin, Federico, et al.
Published: (2025)

Non-conservation of a generalized helicity in the Euler equations
by: Giri, Vikram, et al.
Published: (2026)

Global in Time Vortex Configurations for the $2$D Euler Equations
by: Dávila, Juan, et al.
Published: (2023)

Desingularization of vortex sheets for the 2D Euler equations
by: Enciso, Alberto, et al.
Published: (2025)

Constructing characteristic initial data for three dimensional compressible Euler equations
by: Wang, Yuxuan, et al.
Published: (2025)

Vortex dynamics for the Gross-Pitaevskii equation
by: del Pino, Manuel, et al.
Published: (2025)

Multifractality and polygonal vortex filaments
by: Banica, Valeria, et al.
Published: (2024)

Time-periodic leapfrogging vortex rings in the 3D Euler equations
by: García, Claudia, et al.
Published: (2026)

Delayed singularity formation for the three dimensional compressible Euler equations with non-zero vorticity
by: Hou, Fei, et al.
Published: (2021)

A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum
by: Ye, Yulin
Published: (2025)

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl
by: Qin, Guolin, et al.
Published: (2024)

Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation
by: Cao, Daomin, et al.
Published: (2022)

Slender vortex filaments in the Boussinesq Approximation
by: Rodal, Marie, et al.
Published: (2024)

Self-similar algebraic spiral vortex sheets of 2-D incompressible Euler equations
by: Shao, Feng, et al.
Published: (2025)

Existence of nonsymmetric logarithmic spiral vortex sheet solutions to the 2D Euler equations
by: Cieślak, T., et al.
Published: (2022)

Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in $\mathbb{R}^3$
by: Guo, Dengjun, et al.
Published: (2023)

Entropy maximization in the two-dimensional Euler equations
by: Zelati, Michele Coti, et al.
Published: (2024)

Microscopic derivation of the one-dimensional constrained Euler equations
by: Perrin, Charlotte
Published: (2026)

Solutions to the two-dimensional steady incompressible Euler equations in an annulus
by: Yang, Wengang
Published: (2025)

On a classification of steady solutions to two-dimensional Euler equations
by: Gui, Changfeng, et al.
Published: (2024)

Generic small-scale creation in the two-dimensional Euler equation
by: Alazard, Thomas, et al.
Published: (2026)

Free boundary problems for the two-dimensional Euler equations in exterior domains
by: Cao, Daomin, et al.
Published: (2024)

Bifurcations in Isoperimetric Problems with Nonlocal Interactions
by: De Regibus, Fabio, et al.
Published: (2026)

Delaunay-like compact equilibria in the liquid drop model
by: del Pino, Manuel, et al.
Published: (2024)

Convergence of the Euler-Voigt equations to the Euler equations in two dimensions
by: Abbate, Stefano, et al.
Published: (2025)

An Expanding Self-Similar Vortex Configuration for the 2D Euler Equations
by: Dávila, Juan, et al.
Published: (2024)

Transonic shocks for three-dimensional axisymmetric Euler flows with an external force in a perturbed cylinder
by: Zhang, Zihao
Published: (2024)

Rigidity for homogeneous solutions to the two-dimensional Euler equations in sector-type domains
by: Li, Li, et al.
Published: (2025)

Structural stability of three dimensional steady Prandtl equation
by: Shen, Weiming, et al.
Published: (2025)