**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 Diffy Qs: Differential Equations for Engineers**

by

**Jiří Lebl**-

**Lulu.com**

One semester introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, and the Laplace transform.

(

**32222**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.

(

**8885**views)

**Differential and Integral Equations: Boundary Value Problems and Adjoints**

by

**S. Schwabik, M. Tvrdy, O. Vejvoda**-

**Academia Praha**

The book is devoted to certain problems which belong to the domain of integral equations and boundary value problems for differential equations. Its essential part is concerned with linear systems of integral and generalized differential equations...

(

**1766**views)

**Differential Equations**

by

**Paul Dawkins**-

**Lamar University**

Contents: Basic Concepts; First Order Differential Equations; Second Order DE; Laplace Transforms; Systems of Differential Equations; Series Solutions; Higher Order DE; Boundary Value Problems and Fourier Series; Partial Differential Equations.

(

**10851**views)