Motions of vortex patches
From MaRDI portal
Publication:1163930
DOI10.1007/BF02281165zbMath0484.76031OpenAlexW1975760611MaRDI QIDQ1163930
Publication date: 1982
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02281165
Euler equationsvortex patchestwo-dimensionalm-fold symmetric regions of constant vorticitym-waves of Kelvinrotating ellipses of Kirchoff
Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Reaction effects in flows (76V05)
Related Items
Doubly connected V-states for the generalized surface quasi-geostrophic equations ⋮ On the mother bodies of steady polygonal uniform vortices. Part I: numerical experiments ⋮ Rotating vortex patches for the planar Euler equations in a disk ⋮ Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations ⋮ Corotating steady vortex flows with N-fold symmetry ⋮ 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 ⋮ Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc ⋮ Mini-workshop: Free boundary problems arising in fluid mechanics. Abstracts from the mini-workshop held February 26 -- March 4, 2023 ⋮ Time Periodic Doubly Connected Solutions for the 3D Quasi-Geostrophic Model ⋮ Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations ⋮ Time quasi-periodic vortex patches of Euler equation in the plane ⋮ On the rapidly rotating vorticity in the unit disk ⋮ Traveling waves near Couette flow for the 2D Euler equation ⋮ Global bifurcation for corotating and counter-rotating vortex pairs ⋮ On the trivial solutions for the rotating patch model ⋮ Boundary regularity of rotating vortex patches ⋮ Uniformly rotating smooth solutions for the incompressible 2D Euler equations ⋮ Imperfect bifurcation for the quasi-geostrophic shallow-water equations ⋮ On singular vortex patches, II: Long-time dynamics ⋮ On the existence of stationary patches ⋮ Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability ⋮ Global Smooth Solutions for the Inviscid SQG Equation ⋮ Multiscale rotating vortex patches for 2D Euler flows in a disk ⋮ From point vortices to vortex patches in self-similar expanding configurations ⋮ Existence of corotating and counter-rotating vortex pairs for active scalar equations ⋮ Steady asymmetric vortex pairs for Euler equations ⋮ On radial symmetry of rotating vortex patches in the disk ⋮ Relative equilibria with holes for the surface quasi-geostrophic equations ⋮ On rotating doubly connected vortices ⋮ Unnamed Item ⋮ On the V-states for the generalized quasi-geostrophic equations ⋮ Remarks on equilibria of two-dimensional uniform vortices with polygonal symmetry ⋮ Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results ⋮ On the local existence and blow-up for generalized SQG patches ⋮ The ellipse law: Kirchhoff meets dislocations ⋮ Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation ⋮ Vortex patches choreography for active scalar equations ⋮ Doubly Connected $V$-States for the Planar Euler Equations ⋮ Kármán vortex street in incompressible fluid models ⋮ Symmetry in stationary and uniformly rotating solutions of active scalar equations ⋮ Computer-assisted proofs in PDE: a survey ⋮ Stability and instability of Kelvin waves ⋮ Quantitative estimates for uniformly-rotating vortex patches ⋮ Time periodic solutions for 3D quasi-geostrophic model ⋮ On Singular Vortex Patches, I: Well-posedness Issues ⋮ Global solutions for the generalized SQG equation and rearrangements
Cites Work
This page was built for publication: Motions of vortex patches
