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 Equationsby 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.
(21799 views)
Difference Equations to Differential Equations - An introduction to calculusby 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.
(25563 views)
Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equationsby Horst R. Beyer - arXiv
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.
(13727 views)
Traveling Wave Solutions of Parabolic Systemsby 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.
(16065 views)