**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.

(

**18542**views)

**Traveling Wave Solutions of Parabolic Systems**

by

**A. Volpert, V. Volpert, V. Volpert**-

**American Mathematical Society**

The theory of traveling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems and their stability.

(

**15565**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.

(

**17515**views)

**Difference Equations to Differential Equations - An introduction to calculus**

by

**Dan Sloughter**

The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.

(

**25057**views)