Cover Image

On the regularity of axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Miller, Evan, Tsai, Tai-Peng
Format:	Preprint
Published:	2022
Subjects:	Analysis of PDEs 35Q31, 76B47, 76B03
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global regularity for axisymmetric, swirl-free solutions of the Euler equation in four dimensions
by: Miller, Evan
Published: (2026)

Permutation symmetric solutions of the incompressible Euler equation
by: Miller, Evan
Published: (2024)

On the gravity-capillary water waves with point vortices
by: Wan, Lizhe
Published: (2025)

Optimal Regularity for the 2D Euler Equations in the Yudovich class
by: de Nitti, Nicola, et al.
Published: (2024)

Traveling waves near Poiseuille flow for the 2D Euler equation
by: Castro, Ángel, et al.
Published: (2024)

Time-periodic non-radial solutions near monotone vortices in linearized 2D Euler
by: Castro, Ángel, et al.
Published: (2025)

Existence of stationary vortex patches for the gSQG in bounded domains
by: Angulo-Castillo, Vladimir, et al.
Published: (2024)

Existence of Vortex Patch Equilibria for Active Scalars Equations
by: Cuba, Edison
Published: (2024)

Anomalous dissipation and Euler flows
by: Burczak, Jan, et al.
Published: (2023)

Global regularity of some axisymmetric, single-signed vorticity in any dimension
by: Lim, Deokwoo
Published: (2023)

Conservation and Breakdown of Modulus of Continuity in the Propagation of Loglog Vortex for 2D Euler equation
by: Jeon, Woohyu
Published: (2023)

Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations
by: Ciampa, Gennaro, et al.
Published: (2024)

Scalar anomalous dissipation and optimal regularity via iterated homogenization
by: Burczak, Jan, et al.
Published: (2026)

A priori estimates for the motion of charged liquid drop: A dynamic approach via free boundary Euler equations
by: Julin, Vesa, et al.
Published: (2021)

Gravity water waves over constant vorticity flows: From laminar flows to touching waves
by: Gonçalves, Francisco
Published: (2025)

Rigidity of symmetric doubly-periodic water waves near shear flows
by: Seth, Douglas Svensson, et al.
Published: (2025)

Harmonic maps and 2D Boussinesq equations
by: Li, Jian, et al.
Published: (2025)

Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold
by: Shkoller, Steve
Published: (2026)

Singularity formation of vortex sheets in 2D Euler equations using the characteristic mapping method
by: Bergmann, Julius, et al.
Published: (2024)

Energy conservation for 3D Euler and Navier-Stokes equations in a bounded domain. Applications to Beltrami flows
by: Berselli, Luigi C., et al.
Published: (2024)

On global regularity of some bi-rotational Euler flows in $\mathbb{R}^{4}$
by: Choi, Kyudong, et al.
Published: (2024)

Support growth of vorticity for bi-rotational Euler flows in high dimensions
by: Jeong, In-Jee, et al.
Published: (2025)

Euler equations with non-homogeneous Navier slip boundary condition
by: Chemetov, N. V., et al.
Published: (2024)

Classification of finite-time blow-up of strong solutions to the incompressible free boundary Euler equations with surface tension
by: Hao, Chengchun, et al.
Published: (2025)

Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations
by: Collot, Charles, et al.
Published: (2025)

Arnold's variational principle and its application to the stability of planar vortices
by: Gallay, Thierry, et al.
Published: (2021)

Existence of nested polygonal vortex patches for the generalized SQG equation
by: Cuba, Edison, et al.
Published: (2025)

Fractional Voigt-regularization of the 3D Navier--Stokes and Euler equations: Global well-posedness and limiting behavior
by: Brzeźniak, Zdzislaw, et al.
Published: (2024)

On the local analyticity for the Euler equations
by: Kukavica, Igor, et al.
Published: (2025)

Long-time existence for the 2D ideal Boussinesq and the 2D density-dependent Euler equations
by: Bae, Hantaek, et al.
Published: (2025)

On a 1D nonlocal transport of the incompressible porous media equation
by: Liu, Caifeng, et al.
Published: (2025)

Finite time blow-up in a 1D model of the incompressible porous media equation
by: Kiselev, Alexander, et al.
Published: (2024)

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

Energy equality of the weak solutions to non-Newtonian fluids equations
by: Feng, Yi, et al.
Published: (2024)

A revisit of patch solutions for the 2D Loglog-Euler type equation
by: Tan, Changhui, et al.
Published: (2025)

Energy equality of the weak solutions to the fractional Navier-Stokes / MHD equations
by: Feng, Yi, et al.
Published: (2025)

The free boundary of steady axisymmetric inviscid flow with vorticity II: near the non-degenerate points
by: Du, Lili, et al.
Published: (2023)

Inviscid limit for Navier-Stokes equations in domains with permeable boundaries
by: Chemetov, N. V., et al.
Published: (2024)

Bifurcation of Tetrahedral Non-Zonal Flows in the 2D Euler Equations on a Rotating Sphere
by: Cacchiò, Yuri
Published: (2026)

Existence and stability of Sadovskii vortices: from patch to smooth vortices
by: Abe, Ken, et al.
Published: (2025)