Quantitative estimates for uniformly-rotating vortex patches
From MaRDI portal
Publication:2105749
DOI10.1016/j.aim.2022.108779zbMath1504.35265arXiv2010.06754OpenAlexW3093432300MaRDI QIDQ2105749
Publication date: 8 December 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.06754
Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to PDEs (35A15) Euler equations (35Q31)
Cites Work
- Unnamed Item
- Doubly connected V-states for the generalized surface quasi-geostrophic equations
- Bifurcation of rotating patches from Kirchhoff vortices
- An analytical and numerical study of steady patches in the disc
- Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results
- Uniqueness of the solution to the Vlasov--Poisson system with bounded density
- On the trivial solutions for the rotating patch model
- Motions of vortex patches
- Uniformly rotating analytic global patch solutions for active scalars
- Uniformly rotating smooth solutions for the incompressible 2D Euler equations
- On the existence of stationary patches
- Global regularity for vortex patches
- On the V-states for the generalized quasi-geostrophic equations
- Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations
- On rotating doubly connected vortices
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Faber-Krahn inequalities in sharp quantitative form
- Boundary regularity of rotating vortex patches
- Doubly Connected $V$-States for the Planar Euler Equations
- Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
- Global Smooth Solutions for the Inviscid SQG Equation
- Stability estimates for certain Faber-Krahn,isocapacitary and Cheeger inequalities
- Steady-State Solutions of the Euler Equations in Two Dimensions II. Local Analysis of Limiting V-States
- On singular vortex patches, II: Long-time dynamics
- Symmetries and Critical Phenomena in Fluids
- Non-stationary flow of an ideal incompressible liquid
This page was built for publication: Quantitative estimates for uniformly-rotating vortex patches