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

A. N. Varchenko and P. I. Etingof

ISBN 10: 0821870025 / ISBN 13: 9780821870020

Published by American Mathematical Society, 1992

Ancien livre de bibliothèque avec équipements. Edition 1992. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Edition 1992. Ammareal gives back up to 15% of this item's net price to charity organizations. Seller Inventory # H-341-328

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.

Language Notes: Text: English (translation)
Original Language: Russian

Bibliographic Details

Title: Why the Boundary of a Round Drop Becomes a ...
Publisher: American Mathematical Society
Publication Date: 1992
Binding: Softcover
Condition: Bon