04921nam 22008415 450 99646649550331620200629120214.01-280-38431-X97866135622343-642-00837-210.1007/978-3-642-00837-5(CKB)1000000000746032(SSID)ssj0000318655(PQKBManifestationID)11222359(PQKBTitleCode)TC0000318655(PQKBWorkID)10310555(PQKB)11564447(DE-He213)978-3-642-00837-5(MiAaPQ)EBC3064237(PPN)136300812(EXLCZ)99100000000074603220100301d2009 u| 0engurnn|008mamaatxtccrLectures on Topological Fluid Mechanics[electronic resource] Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 2 - 10, 2001 /by Mitchell A. Berger, Louis H. Kauffman, Boris Khesin, H. Keith Moffatt, Renzo L. Ricca, De Witt Sumners ; edited by Renzo L. Ricca1st ed. 2009.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2009.1 online resource (XII, 223 p.) C.I.M.E. Foundation Subseries ;1973"Fondazione CIME."3-642-00836-4 Includes bibliographical references and index.Braids and Knots -- Topological Quantities: Calculating Winding, Writhing, Linking, and Higher Order Invariants -- Tangles, Rational Knots and DNA -- The Group and Hamiltonian Descriptions of Hydrodynamical Systems -- Singularities in Fluid Dynamics and their Resolution -- Structural Complexity and Dynamical Systems -- Random Knotting: Theorems, Simulations and Applications.Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wide-ranging collection of up-to-date, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material.C.I.M.E. Foundation Subseries ;1973Continuum physicsTopologyDynamicsErgodic theoryFunctions of complex variablesClassical and Continuum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P2100XTopologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28000Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XSeveral Complex Variables and Analytic Spaceshttps://scigraph.springernature.com/ontologies/product-market-codes/M12198Cetraro <2001>swdKongress.swdContinuum physics.Topology.Dynamics.Ergodic theory.Functions of complex variables.Classical and Continuum Physics.Topology.Dynamical Systems and Ergodic Theory.Several Complex Variables and Analytic Spaces.532SI 850rvkBerger Mitchell Aauthttp://id.loc.gov/vocabulary/relators/aut319929Kauffman Louis Hauthttp://id.loc.gov/vocabulary/relators/autKhesin Borisauthttp://id.loc.gov/vocabulary/relators/autMoffatt H. Keithauthttp://id.loc.gov/vocabulary/relators/autRicca Renzo Lauthttp://id.loc.gov/vocabulary/relators/autSumners De Wittauthttp://id.loc.gov/vocabulary/relators/autRicca Renzo Ledthttp://id.loc.gov/vocabulary/relators/edtCentro internazionale matematico estivo.C.I.M.E. Summer School(2001 :Cetraro, Italy)BOOK996466495503316Lectures on topological fluid mechanics784539UNISA