Helical vortex filaments with compactly supported cross-sectional vorticity for the incompressible Euler equations in $\mathbb{R}^3$
Fuente:
arXiv
Saved in:
| Main Authors: | Averkiou, Averkios, Musso, Monica |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Clustered vortex helices with compactly supported cross-sectional vorticity in the 3D Euler equations
by: Averkiou, Averkios, et al.
Published: (2026)
by: Averkiou, Averkios, et al.
Published: (2026)
Asymptotic properties of vortex-pair solutions for incompressible Euler equations in $\mathbb{R}^2$
by: Dávila, Juan, et al.
Published: (2023)
by: Dávila, Juan, et al.
Published: (2023)
Nearly parallel helical vortex filaments in the three dimensional Euler equations
by: Guerra, Ignacio, et al.
Published: (2025)
by: Guerra, Ignacio, 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)
by: Cao, Daomin, et al.
Published: (2025)
Desingularization of vortices for the incompressible Euler equation on a sphere
by: Cao, Daomin, et al.
Published: (2024)
by: Cao, Daomin, et al.
Published: (2024)
Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation
by: Cao, Daomin, et al.
Published: (2022)
by: Cao, Daomin, et al.
Published: (2022)
On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl
by: Qin, Guolin, et al.
Published: (2024)
by: Qin, Guolin, et al.
Published: (2024)
Helically symmetric solution of 3D Euler equations with vorticity and its free boundary
by: Du, Lili, et al.
Published: (2025)
by: Du, Lili, et al.
Published: (2025)
On two-dimensional steady compactly supported Euler flows with constant vorticity
by: Gui, Changfeng, et al.
Published: (2026)
by: Gui, Changfeng, et al.
Published: (2026)
Solvability for the Ginzburg-Landau equation linearized at the degree-one vortex
by: del Pino, Manuel, et al.
Published: (2024)
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)
by: Donati, Martin, et al.
Published: (2024)
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)
by: Guo, Dengjun, et al.
Published: (2023)
Self-similar algebraic spiral vortex sheets of 2-D incompressible Euler equations
by: Shao, Feng, et al.
Published: (2025)
by: Shao, Feng, et al.
Published: (2025)
Long time dynamics for helical vortex filament in Euler flows
by: Guo, Dengjun, et al.
Published: (2024)
by: Guo, Dengjun, et al.
Published: (2024)
Statistical solutions of the incompressible Euler equations
by: Wagner, Raphael, et al.
Published: (2022)
by: Wagner, Raphael, et al.
Published: (2022)
Helical kelvin waves for the 3D Euler equation
by: Cao, Daomin, et al.
Published: (2024)
by: Cao, Daomin, et al.
Published: (2024)
On the continuous properties for the 3D incompressible rotating Euler equations
by: Li, Jinlu, et al.
Published: (2025)
by: Li, Jinlu, et al.
Published: (2025)
On the rigidity of the 2D incompressible Euler equations
by: Wang, Yuchen, et al.
Published: (2023)
by: Wang, Yuchen, et al.
Published: (2023)
Growth of vorticity gradient for the Euler equation on the sphere
by: Cao, Daomin, et al.
Published: (2026)
by: Cao, Daomin, et al.
Published: (2026)
Dissipative Euler flows originating from circular vortex filaments
by: Gancedo, Francisco, et al.
Published: (2024)
by: Gancedo, Francisco, et al.
Published: (2024)
Self-similar blow-up solutions of incompressible Euler equations in $\mathbb R^d, d\geq 3$ with $C^{1,1-2/d-}$ velocity
by: Shao, Feng, et al.
Published: (2026)
by: Shao, Feng, et al.
Published: (2026)
Delaunay-like compact equilibria in the liquid drop model
by: del Pino, Manuel, et al.
Published: (2024)
by: del Pino, Manuel, et al.
Published: (2024)
Lower bounds on the blowup rate of vorticity in the Euler equations
by: Ingimarson, Benjamin, et al.
Published: (2026)
by: Ingimarson, Benjamin, et al.
Published: (2026)
Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation
by: Jeong, In-Jee, et al.
Published: (2025)
by: Jeong, In-Jee, et al.
Published: (2025)
Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations
by: Cao, Daomin, et al.
Published: (2025)
by: Cao, Daomin, et al.
Published: (2025)
Time-periodic leapfrogging vortex rings in the 3D Euler equations
by: García, Claudia, et al.
Published: (2026)
by: García, Claudia, et al.
Published: (2026)
Solutions to the two-dimensional steady incompressible Euler equations in an annulus
by: Yang, Wengang
Published: (2025)
by: Yang, Wengang
Published: (2025)
Dissipation for codimension 1 singular structures in the incompressible Euler equations
by: De Rosa, Luigi, et al.
Published: (2024)
by: De Rosa, Luigi, et al.
Published: (2024)
Global in Time Vortex Configurations for the $2$D Euler Equations
by: Dávila, Juan, et al.
Published: (2023)
by: Dávila, Juan, et al.
Published: (2023)
Desingularization of vortex sheets for the 2D Euler equations
by: Enciso, Alberto, et al.
Published: (2025)
by: Enciso, Alberto, et al.
Published: (2025)
Uniformly rotating Euler flows with compactly supported velocity
by: Enciso, Alberto, et al.
Published: (2025)
by: Enciso, Alberto, et al.
Published: (2025)
On the blowup rate of vorticity for the Euler equations in a bounded domain
by: Ingimarson, Benjamin, et al.
Published: (2026)
by: Ingimarson, Benjamin, et al.
Published: (2026)
On local well-posedness of the stochastic incompressible density-dependent Euler equations
by: Espitia, Claudia, et al.
Published: (2024)
by: Espitia, Claudia, et al.
Published: (2024)
Well-posedness of rough 2D Euler equation with bounded vorticity
by: Roveri, Leonardo, et al.
Published: (2024)
by: Roveri, Leonardo, et al.
Published: (2024)
Vortex dynamics for the Gross-Pitaevskii equation
by: del Pino, Manuel, et al.
Published: (2025)
by: del Pino, Manuel, et al.
Published: (2025)
An extension theorem for weak solutions of the 3d incompressible Euler equations and applications to singular flows
by: Enciso, Alberto, et al.
Published: (2024)
by: Enciso, Alberto, et al.
Published: (2024)
The Navier-Stokes equations in $\mathbb R^2_+$ with point vortex initial data: construction of the solution
by: Wang, Chao, et al.
Published: (2026)
by: Wang, Chao, et al.
Published: (2026)
Compactly supported anomalous weak solutions for 2D Euler equations with vorticity in Hardy spaces
by: Buck, Miriam, et al.
Published: (2024)
by: Buck, Miriam, et al.
Published: (2024)
Self-similar algebraic spiral solution of 2-D incompressible Euler equations
by: Shao, Feng, et al.
Published: (2023)
by: Shao, Feng, et al.
Published: (2023)
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations
by: De Rosa, Luigi, et al.
Published: (2019)
by: De Rosa, Luigi, et al.
Published: (2019)
Similar Items
-
Clustered vortex helices with compactly supported cross-sectional vorticity in the 3D Euler equations
by: Averkiou, Averkios, et al.
Published: (2026) -
Asymptotic properties of vortex-pair solutions for incompressible Euler equations in $\mathbb{R}^2$
by: Dávila, Juan, et al.
Published: (2023) -
Nearly parallel helical vortex filaments in the three dimensional Euler equations
by: Guerra, Ignacio, 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) -
Desingularization of vortices for the incompressible Euler equation on a sphere
by: Cao, Daomin, et al.
Published: (2024)