A constrained variational problem for steady vortices in a shear flow

DOI10.1080/03605309908821467zbMath0937.35136OpenAlexW2080089984MaRDI QIDQ4261546

Geoffrey R. Burton, Behrouz Emamizadeh

Publication date: 29 May 2000

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821467

zbMATH Keywords

semilinear elliptic equationsplanar flowsconstrained maximization problemsteady vortices

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Viscous vortex flows (76D17)

Related Items (6)

Steady vortex pairs in two-phase shear flow of an ideal fluid ⋮ A constrained variational problem for an existence theorem of steady vortex rings in Poiseuille flow ⋮ Steady vortex flows obtained from an inverse problem ⋮ A constrained variational problem for an existence theorem of a steady vortex pair in two-phase shear flow ⋮ Existence of seamount steady vortex flows ⋮ Existence of energy maximizing vortices in a three-dimensional quasigeostrophic shear flow with bounded height

Cites Work

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• Optimization and nonsmooth analysis
• Steady vortex flows with circulation past asymmetric obstacles
• On Reachable Sets and Extremal Rearrangements of Control Functions
• Maximal energy isolated vortices in a uniform shear flow
• Existence and stability of stationary vortices in a uniform shear flow

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