**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

**Topics in dynamics I: Flows**

by

**Edward Nelson**-

**Princeton University Press**

Lecture notes for a course on differential equations covering differential calculus, Picard's method, local structure of vector fields, sums and Lie products, self-adjoint operators on Hilbert space, commutative multiplicity theory, and more.

(

**15418**views)

**Techniques of Applied Mathematics**

by

**Andrew Fowler**-

**University of Oxford**

This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work'.

(

**7971**views)

**Differential Equations From The Algebraic Standpoint**

by

**Joseph Fels Ritt**-

**The American Mathematical Society**

We shall be concerned, in this monograph, with systems of differential equations, ordinary or partial, which are algebraic in the unknowns and their derivatives. The algebraic side of the theory of such systems seems is developed in this book.

(

**4622**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.

(

**34847**views)