Why the Boundary of a Round Drop Becomes a Curve of Order Four (University Lecture Series) - Softcover

A. N. Varchenko And P. I. Etingof

 
9780821870020: Why the Boundary of a Round Drop Becomes a Curve of Order Four (University Lecture Series)
Softcover
ISBN 10: 0821870025 ISBN 13: 9780821870020
Publisher: American Mathematical Society, 1992

Synopsis

This book concerns the problem of evolution of a round oil spot surrounded by water when oil is extracted from a well inside the spot. It turns out that the boundary of the spot remains an algebraic curve of degree four in the course of evolution. This curve is the image of an ellipse under a reflection with respect to a circle. Since the 1940s, work on this problem has led to generalizations of the reflection property and methods for constructing explicit solutions. More recently, the results have been extended to multiply connected domains. This text discusses this topic and other recent work in the theory of fluid flows with a moving boundary. Problems are included at the end of each chapter, and there is a list of open questions at the end of the book.

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Language Notes

Text: English (translation)
Original Language: Russian

Review

The book is well written. --Mathematical Reviews

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
1992
Language
English
ISBN 10 
0821870025
ISBN 13 
9780821870020
Binding
Paperback
Number of pages
72