On rotating doubly connected vortices
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Publication:2254020
DOI10.1016/j.jde.2014.10.021zbMath1446.76086arXiv1310.0335OpenAlexW2963296991MaRDI QIDQ2254020
Joan Mateu, Joan Verdera, Taoufik Hmidi
Publication date: 4 February 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.0335
Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Euler equations (35Q31) Inverse problems in fluid mechanics (76M21)
Related Items (28)
Doubly connected V-states for the generalized surface quasi-geostrophic equations ⋮ Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations ⋮ Multipole Vortex Patch Equilibria for Active Scalar Equations ⋮ On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ Degenerate bifurcation of the rotating patches ⋮ Bifurcation of rotating patches from Kirchhoff vortices ⋮ Uniformly rotating analytic global patch solutions for active scalars ⋮ Existence of small loops in a bifurcation diagram near degenerate eigenvalues ⋮ Vortex rigid motion in quasi-geostrophic shallow-water equations ⋮ Explicit minimisers for anisotropic Coulomb energies in 3D ⋮ Time Periodic Doubly Connected Solutions for the 3D Quasi-Geostrophic Model ⋮ Stability of Ellipsoids as the Energy Minimizers of Perturbed Coulomb Energies ⋮ Global bifurcation for corotating and counter-rotating vortex pairs ⋮ The regularity of the boundary of vortex patches for some nonlinear transport equations ⋮ On the trivial solutions for the rotating patch model ⋮ On the existence of stationary patches ⋮ Steady asymmetric vortex pairs for Euler equations ⋮ On radial symmetry of rotating vortex patches in the disk ⋮ On the V-states for the generalized quasi-geostrophic equations ⋮ The equilibrium measure for an anisotropic nonlocal energy ⋮ On the local existence and blow-up for generalized SQG patches ⋮ The ellipse law: Kirchhoff meets dislocations ⋮ Doubly Connected $V$-States for the Planar Euler Equations ⋮ Symmetry in stationary and uniformly rotating solutions of active scalar equations ⋮ Computer-assisted proofs in PDE: a survey ⋮ Explicit minimizers of some non-local anisotropic energies: a short proof ⋮ Uniqueness for SQG patch solutions ⋮ Quantitative estimates for uniformly-rotating vortex patches
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