Circular flows for the Euler equations in two-dimensional annular domains, and related free boundary problems

DOI10.4171/JEMS/1177MaRDI QIDQ2693145

François Hamel, Nikolai S. Nadirashvili

Publication date: 17 March 2023

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01666

zbMATH Keywords

semilinear elliptic equationsEuler equationsfree boundary problemsmethod of moving planescircular flows

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Boundary eigenvalue problems for ordinary differential equations (34B09) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06) Euler equations (35Q31) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (4)

On zonal steady solutions to the 2D Euler equations on the rotating unit sphere ⋮ Rigidity of three-dimensional internal waves with constant vorticity ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Symmetry results for compactly supported steady solutions of the 2D Euler equations

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