On the trivial solutions for the rotating patch model

DOI10.1007/s00028-015-0281-7zbMath1338.35365arXiv1409.8469OpenAlexW1598118663MaRDI QIDQ904340

Taoufik Hmidi

Publication date: 13 January 2016

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8469

zbMATH Keywords

rotating patchesEuler incompressible vorticesRankine vortices

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (12)

Doubly connected V-states for the generalized surface quasi-geostrophic equations ⋮ Rotating vortex patches for the planar Euler equations in a disk ⋮ Multipole Vortex Patch Equilibria for Active Scalar Equations ⋮ Degenerate bifurcation of the rotating patches ⋮ Global bifurcation for corotating and counter-rotating vortex pairs ⋮ Circular flows for the Euler equations in two-dimensional annular domains, and related free boundary problems ⋮ 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 ⋮ Vortex patches choreography for active scalar equations ⋮ Symmetry in stationary and uniformly rotating solutions of active scalar equations ⋮ Quantitative estimates for uniformly-rotating vortex patches

Cites Work

• Characterization of balls by Riesz-potentials
• Motions of vortex patches
• On rotating doubly connected vortices
• Boundary regularity of rotating vortex patches
• Vorticity and Incompressible Flow
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