02585nam 2200553 450 99646638830331620220610150952.03-030-74278-410.1007/978-3-030-74278-2(CKB)5470000000556835(DE-He213)978-3-030-74278-2(MiAaPQ)EBC6614566(Au-PeEL)EBL6614566(OCoLC)1252659008(PPN)255881967(EXLCZ)99547000000055683520220121d2021 uy 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierTopological methods in hydrodynamics /Vladimir I. Arnold, Boris A. KhesinSecond edition.Cham, Switzerland :Springer,[2021]©20211 online resource (XX, 455 p. 79 illus.)Applied Mathematical Sciences,0066-5452 ;1253-030-74277-6 Group and Hamiltonian Structures of Fluid Dynamics -- Topology of Steady Fluid Flows -- Topological Properties of Magnetic and Vorticity Fields -- Differential Geometry of Diffeomorphism Groups -- Kinematic Fast Dynamo Problems -- Dynamical Systems with Hydrodynamical Background.First published in 1998 this unique monograph treats topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. This book, now accepted as one of the main references in the field, is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry. The updated second edition also contains a survey of recent developments in this now-flourishing field of topological and geometric hydrodynamics.Applied Mathematical Sciences,0066-5452 ;125HydrodynamicsHidrodinàmicathubTopologiathubLlibres electrònicsthubHydrodynamics.HidrodinàmicaTopologia532.5Arnol'd V. I(Vladimir Igorevich),1937-2010,22210Khesin Boris A.MiAaPQMiAaPQMiAaPQBOOK996466388303316Topological methods in hydrodynamics374808UNISA