**Why the Boundary of a Round Drop Becomes a Curve of Order Four**

by A. N. Varchenko, P. I. Etingof

**Publisher**: American Mathematical Society 1992**ISBN/ASIN**: 0821870025**ISBN-13**: 9780821870020**Number of pages**: 72

**Description**:

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 text discusses this topic and other recent work in the theory of fluid flows with a moving boundary.

Download or read it online for free here:

**Read online**

(online reading)

## Similar books

**Notes on Differential Equations**

by

**Bob Terrell**

Introductory notes on ordinary and partial differential equations for engineers. The text covers only the most important ideas. Assumed background is calculus and a little physics. Linear algebra is introduced in four of the lectures.

(

**19352**views)

**Mathematical Physics II**

by

**Boris Dubrovin**-

**SISSA**

These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.

(

**17399**views)

**Analysis Tools with Applications**

by

**Bruce K. Driver**-

**Springer**

These are lecture notes from Real analysis and PDE: Basic Topological, Metric and Banach Space Notions; Riemann Integral and ODE; Lebesbgue Integration; Hilbert Spaces and Spectral Theory of Compact Operators; Complex Variable Theory; etc.

(

**17589**views)

**An Elementary Treatise On Differential Equations And Their Applications**

by

**H.T.H. Piaggio**-

**G. Bell**

The object of this book is to give an account of the central parts of the subject in as simple a form as possible, suitable for those with no previous knowledge of it, and to point out the different directions in which it may be developed.

(

**10074**views)