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.

List of contents

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

About the author

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

Summary

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.

Product details

• Authors: Björ Gustafsson, Bjorn Gustafsson, Björn Gustafsson, Alexander Vasil'ev, Alexander Vasiliev
• Publisher: Springer, Basel
• Languages: English
• Product format: Hardback
• Released: 23.06.2006
• EAN: 9783764377038
• ISBN: 978-3-7643-7703-8
• No. of pages: 231
• Weight: 688 g
• Illustrations: 34 SW-Abb.,
• Series: Advances in Mathematical Fluid Mechanics; Advances in Mathematical Fluid Mechanics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Non-fiction book > Nature, technology > Astronomy: general, reference works; 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)