Theory and applications of the problem of Euler elastica

DOI10.1070/RM2012V067N02ABEH004787zbMath1248.49027OpenAlexW2076717888MaRDI QIDQ2903293

M. I. Zelikin

Publication date: 8 August 2012

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2012v067n02abeh004787

zbMATH Keywords

nonlinear Schrödinger equationelliptic functionsRiccati equationPontryagin's maximum principle

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to problems in fluid mechanics (76M30) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Optimality conditions for problems involving ordinary differential equations (49K15)

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