A note on steady vortex flows in two dimensions

DOI10.1090/proc/14776zbMath1431.33015OpenAlexW2966536697MaRDI QIDQ5212419

Guo-Dong Wang, Dao-Min Cao

Publication date: 29 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14776

zbMATH Keywords

Euler equationssemilinear elliptic equationstream functionsteady vortex flow

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spherical harmonics (33C55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (6)

Nonlinear stability of planar steady Euler flows associated with semistable solutions of elliptic problems ⋮ On 2D steady Euler flows with small vorticity near the boundary ⋮ Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method ⋮ Existence of steady symmetric vortex patch in a disk ⋮ Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain ⋮ Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation

Cites Work

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• Global nonlinear stability for steady ideal fluid flow in bounded planar domains
• Regularization of planar vortices for the incompressible flow
• Regularization of point vortices pairs for the Euler equation in dimension two
• On steady vortex flow in two dimensions. I
• Steady vortex patch solutions to the vortex-wave system
• Rearrangements in steady multiple vortex flows
• An Elliptic Problem Related to Planar Vortex Pairs

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