Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations
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Publication:2192401
DOI10.1007/s00205-020-01561-zzbMath1447.35257arXiv1807.10017OpenAlexW3046225198MaRDI QIDQ2192401
Claudia I. Garcia, Juan Soler, Taoufik Hmidi
Publication date: 17 August 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.10017
Smoothness and regularity of solutions to PDEs (35B65) Vortex flows for incompressible inviscid fluids (76B47) Estimates of eigenvalues in context of PDEs (35P15) General theory of rotating fluids (76U05) Bifurcations in context of PDEs (35B32) Euler equations (35Q31)
Related Items (13)
Multipole Vortex Patch Equilibria for Active Scalar Equations ⋮ Time Periodic Doubly Connected Solutions for the 3D Quasi-Geostrophic Model ⋮ Existence of traveling asymmetric vortex pairs in an ideal fluid ⋮ Traveling waves near Couette flow for the 2D Euler equation ⋮ Global bifurcation for corotating and counter-rotating vortex pairs ⋮ Steady asymmetric vortex pairs for Euler equations ⋮ On the local existence and blow-up for generalized SQG patches ⋮ Vortex patches choreography for active scalar equations ⋮ Symmetry in stationary and uniformly rotating solutions of active scalar equations ⋮ Computer-assisted proofs in PDE: a survey ⋮ Quantitative estimates for uniformly-rotating vortex patches ⋮ Time periodic solutions for 3D quasi-geostrophic model ⋮ Global solutions for the generalized SQG equation and rearrangements
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