Björn Gustafsson, Alexander Vasiliev

Conformal and Potential Analysis in Hele-Shaw Cells

• Gebundenes Buch

Produktbeschreibung

This monograph aims at giving a presentation of recent and new ideas that arise from the problems of planar fluid dynamics and which are interesting from the point of view of geometric function theory and potential theory. In particular, this book is concerned with geometric problems for Hele-Shaw flows. Also Hele-Shaw flows on parameter spaces (e.g., the Teichmüller space) are treated and connections with string theory are revealed. Ultimately, the interaction between several branches of complex and potential analysis, and planar fluid mechanics is discussed.

For most parts of this book the background provided by graduate courses in real and complex analysis, in particular, the theory of conformal mappings and in fluid mechanics is assumed. There are some historical remarks concerning the people that have contributed to the topic. The book is as self-contained as possible.

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Produktdetails

• Advances in Mathematical Fluid Mechanics
• Verlag: Birkhäuser Basel / Springer, Basel
• Artikelnr. des Verlages: 11610458
• 2006
• Seitenzahl: 244
• Erscheinungstermin: 20. Juni 2006
• Englisch
• Abmessung: 250mm x 175mm x 19mm
• Gewicht: 688g
• ISBN-13: 9783764377038
• ISBN-10: 3764377038
• Artikelnr.: 20853981

Autorenporträt

Björn Gustafsson, Royal Institute of Technology, Stockholm, Sweden / Alexander Vasiliev, University of Bergen, Norway

Inhaltsangabe

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

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