**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

**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...

(

**8139**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.

(

**10174**views)

**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.

(

**40259**views)

**Introduction to Differential Equations**

by

**Jeffrey R. Chasnov**-

**The Hong Kong University of Science &Technology**

Contents: A short mathematical review; Introduction to odes; First-order odes; Second-order odes, constant coefficients; The Laplace transform; Series solutions; Systems of equations; Bifurcation theory; Partial differential equations.

(

**18517**views)