Hölder regularity for collapses of point-vortices
From MaRDI portal
Publication:6050830
DOI10.1088/1361-6544/acf7a4arXiv2111.14230OpenAlexW3216010619MaRDI QIDQ6050830
Martin Donati, Ludovic Godard-Cadillac
Publication date: 12 October 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.14230
non-degeneracy conditionsurface quasi-geostrophic equationHoelder regularityalpha-point vortex model
Vortex flows for incompressible inviscid fluids (76B47) Meteorology and atmospheric physics (86A10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Geophysical flows (76U60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distributional enstrophy dissipation via the collapse of three point vortices
- Desingularization of vortices for the Euler equation
- Vortex methods in two-dimensional fluid dynamics
- Quantization and motion law for Ginzburg-Landau vortices
- Elliptic partial differential equations of second order
- Finite-time collapse of three point vortices in the plane
- Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid
- Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
- Long time localization of modified surface quasi-geostrophic equations
- Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain
- Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in \(L^\infty\)
- Vortex collapses for the Euler and quasi-geostrophic models
- Burst of point vortices and non-uniqueness of 2D Euler equations
- Point vortices for inviscid generalized surface quasi-geostrophic models
- Mean field limit for Coulomb-type flows
- Hölder estimate for the 3 point-vortex problem with alpha-models
- Instantaneous energy and enstrophy variations in Euler-alpha point vortices via triple collapse
- Uniqueness for the Vortex-Wave System When the Vorticity Is Constant Near the Point Vortex
- Self-similar motion of three point vortices
- Existence de Nappes de Tourbillon en Dimension Deux
- Motion of three vortices
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Universality of the Anomalous Enstrophy Dissipation at the Collapse of Three Point Vortices on Euler--Poincaré Models
- Atmospheric and Oceanic Fluid Dynamics
- The theory of quasi-geostrophic von Kármán vortex streets in two-layer fluids on a beta-plane
- Simplified equations for the interaction of nearly parallel vortex filaments
- The point-vortex method for periodic weak solutions of the 2-D Euler equations
- Justification of the Point Vortex Approximation for Modified Surface Quasi-Geostrophic Equations
- Two-Dimensional Point Vortex Dynamics in Bounded Domains: Global Existence for Almost Every Initial Data
- Self-similar collapse of three geophysical vortices
- Regularized vortex approximation for 2D Euler equations with transport noise
- Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains
- Topological regularizations of the triple collision singularity in the 3-vortex problem
- Mean-Field Limits for Some Riesz Interaction Gradient Flows
- On the Motion of Vortices in Two Dimensions
- The \(N\)-vortex problem. Analytical techniques
- Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation
This page was built for publication: Hölder regularity for collapses of point-vortices