Partial differential equations in fluid dynamics / Isom H. Herron, Michael R. Foster.

Format:

Book

Author/Creator:

Herron, Isom H., 1946- author.

Foster, Michael R., 1943- author.

Language:

English

Subjects (All):

Fluid dynamics--Mathematics--Textbooks.

Fluid dynamics.

Differential equations, Partial--Textbooks.

Differential equations, Partial.

Physical Description:

1 online resource (xiii, 282 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2008.

Language Note:

English

Summary:

This book is concerned with partial differential equations applied to fluids problems in science and engineering and is designed for two potential audiences. First, this book can function as a text for a course in mathematical methods in fluid mechanics in non-mathematics departments or in mathematics service courses. The authors have taught both. Second, this book is designed to help provide serious readers of journals (professionals, researchers, and graduate students) in analytical science and engineering with tools to explore and extend the missing steps in an analysis. The topics chosen for the book are those that the authors have found to be of considerable use in their own research careers. These topics are applicable in many areas, such as aeronautics and astronautics; biomechanics; chemical, civil, and mechanical engineering; fluid mechanics; and geophysical flows. Continuum ideas arise in other contexts, and the techniques included have applications there as well.

Contents:

Review of analytic function theory

Special functions

Eigenvalue problems and Eigenfunction expansions

Green's functions for boundary-value problems

Laplace transform methods

Fourier transform methods

Particular physical problems

Asymptotic expansions of integrals.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

0-511-42707-7

1-107-20102-0

1-281-79126-1

9786611791261

0-511-42935-5

0-511-42816-2

0-511-42973-8

0-511-42755-7

0-511-75465-5

0-511-42887-1

OCLC:

666940021