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Beschreibung
This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks.

Advanced mathematical techniques ("calculus") are introduced and applied to obtain these solutions, mostly from complex function theory (Schwarz-Christoffel theorem and Wiener-Hopf technique), exterior calculus, singularity theory, asymptotic analysis, the theory of linear and nonlinear integral equations and the theory of characteristics.

Many of the derivations, so far contained only in research journals, are made available here to a wider public.
This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks.

Advanced mathematical techniques ("calculus") are introduced and applied to obtain these solutions, mostly from complex function theory (Schwarz-Christoffel theorem and Wiener-Hopf technique), exterior calculus, singularity theory, asymptotic analysis, the theory of linear and nonlinear integral equations and the theory of characteristics.

Many of the derivations, so far contained only in research journals, are made available here to a wider public.
Über den Autor
Achim Feldmeier is an astrophysicist and obtained his PhD in astronomy from Ludwig-Maximilians-Universität in München in 1994. He was postdoc at the University of Kentucky in Lexington and at Imperial College in London.

Since 2000 he works at the Universität Potsdam, where he is apl professor since 2006. He gave numerous courses in hydrodynamics and his research work is on flow properties of stellar winds.
Zusammenfassung

A full-range fluid dynamics course with in-depth derivations of both elementary and advanced results

Introduces mathematical techniques ("calculus") used in analyzing fluid flows

Numerous step-by-step calculations of results so far contained mostly in the research literature

Inhaltsverzeichnis
Description of fluids.- Flows in the complex plane.- Vortices, corner flow and flow past plates.- Jets, wakes and cavities.- Kelvin-Helmholtz instability.- Kinematics of waves.- Shallow water waves.- Free surface waves.- Existence proof for weakly nonlinear water waves.- Sound and internal gravity waves.- Supersonic flow and shocks.
Details
Erscheinungsjahr: 2021
Fachbereich: Mechanik & Akustik
Genre: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Theoretical and Mathematical Physics
Inhalt: xvi
569 S.
476 s/w Illustr.
25 farbige Illustr.
569 p. 501 illus.
25 illus. in color.
ISBN-13: 9783030310240
ISBN-10: 3030310248
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Feldmeier, Achim
Hersteller: Springer
Springer International Publishing AG
Theoretical and Mathematical Physics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 32 mm
Von/Mit: Achim Feldmeier
Erscheinungsdatum: 26.08.2021
Gewicht: 0,879 kg
Artikel-ID: 119670329

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