Lectures on topological fluid mechanics [Documento electrónico] / Mitchell A. Berger ... [et al.] ; edited by Renzo L. Ricca
Language: eng.Country: Germany.Publication: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009Description: XII, 223 p.ISBN: 978-3-642-00837-5.Series: Lecture Notes in MathematicsSubject - Topical Name: Mecânica dos fluidos | Singularidades (Matemática) Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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QA865.SPR FCT 82524 Damped oscillations of linear systems, a mathematical introduction | QA871.SPR FCT 81386 Introduction to perturbation methods | QA871.SPR FCT 82096 Singular perturbations, introduction to system order reduction methods with applications | QA901.SPR FCT 82223 Lectures on topological fluid mechanics | QA901.SPR FCT 82266 Advances in mathematical fluid mechanics, dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday | QA911.ELS FCT 85349 Computational fluid dynamics, principles and applications | QA911.SPR FCT 102509 Applied wave mathematics ii, selected topics in solids, fluids, and mathematical methods and complexity |
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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.
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