Partial Differential Equations in Fluid Dynamics(ISBN=9780521888240) 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线

　　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.

1. Review of analytic function theory

2. Special functions

3. Eigenvalue problems and eigenfunction expansions

4. Green's functions for boundary-value problems

5. Laplace transform methods

6. Fourier transform methods

7. Particular physical problems

8. Asymptotic expansions of integrals.

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书籍介绍

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.