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 Equations From The Algebraic Standpointby 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.
(12752 views)
Topics in dynamics I: Flowsby 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.
(23320 views)
Notes on Differential Equationsby 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.
(21521 views)
Notes on Diffy Qs: Differential Equations for Engineersby 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.
(42883 views)