Isoperimetric inequalities for the energy of uniform-vorticity flows in channels of uniform width

DOI<255::AID-MMA113>3.0.CO;2-5 10.1002/(SICI)1099-1476(200002)23:3<255::AID-MMA113>3.0.CO;2-5zbMath0951.76078OpenAlexW1970473223MaRDI QIDQ4946799

Andrew Acker

Publication date: 3 December 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(200002)23:3<255::aid-mma113>3.0.co;2-5

zbMATH Keywords

kinetic energyisoperimetric inequalitieschannel flowconstant-vorticity flows

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to problems in fluid mechanics (76M30) Viscous vortex flows (76D17)

Cites Work

• Convex solutions of certain elliptic equations have constant rank Hessians
• Über einige neue Extremaleigenschaften der Kugel
• An Extremal Problem Involving Current Flow Through Distributed Resistance
• A Free Boundary Optimization Problem
• Isoperimetric Inequalities and Their Applications
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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