Arnold's variational principle and its application to the stability of planar vortices
DOI10.2140/apde.2024.17.681arXiv2110.13739OpenAlexW3209853024MaRDI QIDQ6196184
Thierry Gallay, Vladimír Šverák
Publication date: 14 March 2024
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.13739
Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30) Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Viscous vortex flows (76D17) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDE constrained optimization (numerical aspects) (49M41)
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