Variational problem for vortices attached to seamounts.

DOI10.1016/S0362-546X(03)00207-4zbMath1122.76320MaRDI QIDQ1413249

Behrouz Emamizadeh, Jonas Nycander

Publication date: 16 November 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Semilinear elliptic equationVorticesVariational problemsRearrangementsBarotropic vorticity equation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to problems in fluid mechanics (76M30) Meteorology and atmospheric physics (86A10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (10)

Optimization problems for an elastic plate ⋮ Existence of energy minimizing vortices attached to a flat-top seamount ⋮ Rearrangement Optimization Problems Related to a Class of Elliptic Boundary Value Problems ⋮ Maximization and minimization in problems involving the bi-Laplacian ⋮ Maximax and minimax rearrangement optimization problems ⋮ A class of rearrangement optimization problems involving the \(p\)-Laplacian ⋮ OPTIMIZATION OF THE PRINCIPAL EIGENVALUE OF THE PSEUDO p-LAPLACIAN OPERATOR WITH ROBIN BOUNDARY CONDITIONS ⋮ Existence of energy maximizing vortices in a three-dimensional quasigeostrophic shear flow with bounded height ⋮ Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian ⋮ Solvable optimization problems involving a p-Laplacian type operator

Cites Work

• Rearrangements of functions, maximization of convex functionals, and vortex rings
• Variational problems on classes of rearrangements and multiple configurations for steady vortices
• 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
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