Existence of energy minimizing vortices attached to a flat-top seamount

DOI10.1016/j.nonrwa.2005.07.005zbMath1107.35301OpenAlexW1974954590MaRDI QIDQ864228

Jonas Nycander, Fariba Bahrami

Publication date: 13 February 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.07.005

zbMATH Keywords

variational problemvorticesrearrangementssemilinear elliptic equationbarotropic vorticity equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15)

Related Items (4)

Extremal energies of Laplacian operator: different configurations for steady vortices ⋮ Maximum load potential of hinged plates with non-homogeneous thickness ⋮ Extremal rearrangement problems involving Poisson's equation with Robin boundary conditions ⋮ Existence of energy maximizing vortices in a three-dimensional quasigeostrophic shear flow with bounded height

Cites Work

• Unnamed Item
• Rearrangements of functions, maximization of convex functionals, and vortex rings
• Variational problem for vortices attached to seamounts.
• Steady symmetric vortex pairs and rearrangements
• Steady vortex in a uniform shear flow of an ideal fluid
• Stable and unstable vortices attached to seamounts
• Existence and stability of stationary vortices in a uniform shear flow
• Stationary vortices in three-dimensional quasi-geostrophic shear flow
• Orbits of L 1 -Functions Under Doubly Stochastic Transformation
• Extreme Points of Some Convex Subsets of L 1 (0, 1)

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