Buch, Englisch, 223 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 780 g
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 2 - 10, 2001
Buch, Englisch, 223 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 780 g
Reihe: C.I.M.E. Foundation Subseries
ISBN: 978-3-642-00836-8
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
- Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
Weitere Infos & Material
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.
