Conformal and Potential Analysis in Hele-Shaw Cells (Advances in Mathematical Fluid Mechanics)

出版者:Birkhäuser Basel

作者:Björn Gustafsson

页数:235

出版时间:2006-07-28

价格:USD 89.95

装帧:Hardcover

isbn号码:9783764377038

具体描述

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 TeichmA1/4ller 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.