Conformal and Potential Analysis in Hele-Shaw Cells

Conformal and Potential Analysis in Hele-Shaw Cells

by Björn Gustafsson, Alexander Vasil'ev


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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

ISBN-13: 9783764377038
Publisher: Birkhäuser Basel
Publication date: 07/28/2006
Series: Advances in Mathematical Fluid Mechanics
Edition description: 2006
Pages: 234
Product dimensions: 6.69(w) x 9.61(h) x 0.03(d)

Table 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.

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