Conformal and Potential Analysis in Hele-Shaw Cells

This monograph presents recent and new ideas arising from the study of problems of planar fluid dynamics, and which are interesting from the point of view of geometric function theory and potential theory. the book is concerned with geometric problems for Hele-Shaw flows. Additionally, Hele-Shaw flows on parameter spaces are discussed, and connections with string theory are revealed. Assumes a graduate level understanding of real and complex analysis, and fluid mechanics.

Inhaltsverzeichnis

and Background.- Explicit Strong Solutions.- Weak Solutions and Balayage.- Geometric Properties.- Capacities and Isoperimetric Inequalities.- General Evolution Equations.- Hele-Shaw Evolution and Strings.

Über den Autor / die Autorin

Der Sportwissenschaftler Björn Gustafsson ist Entwickler einer Software zur Bewegungsanalyse von Läufern. Zahlreiche Sportartikler und Verkaufsketten lassen sich von dem ehemaligen Profi-Triathleten beraten.

Zusammenfassung

This monograph presents recent and new ideas arising from the study of problems of planar fluid dynamics, and which are interesting from the point of view of geometric function theory and potential theory. the book is concerned with geometric problems for Hele-Shaw flows. Additionally, Hele-Shaw flows on parameter spaces are discussed, and connections with string theory are revealed. Assumes a graduate level understanding of real and complex analysis, and fluid mechanics.

Produktdetails

• Autoren: Björ Gustafsson, Bjorn Gustafsson, Björn Gustafsson, Alexander Vasil'ev, Alexander Vasiliev
• Verlag: Springer, Basel
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 23.06.2006
• EAN: 9783764377038
• ISBN: 978-3-7643-7703-8
• Seiten: 231
• Gewicht: 688 g
• Illustration: 34 SW-Abb.,
• Serien: Advances in Mathematical Fluid Mechanics; Advances in Mathematical Fluid Mechanics
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis; Sachbuch > Natur, Technik > Astronomie: Allgemeines, Nachschlagewerke; Analysis, B, Klassische Mechanik, Mathematische Analysis, allgemein, Mathematics and Statistics, Classical mechanics, Classical and Continuum Physics, Continuum physics, Partial Differential Equations, Stochastics, Potential Theory, Potential theory (Mathematics)