Partial Differential Equations in Fluid Dynamics [Paperback]

This book concerns partial differential equations applied to fluids problems in science and engineering.This book is concerned with partial differential equations applied to fluids problems in science and engineering. Designed as a text for courses in mathematical methods in fluid mechanics in non-mathematics departments, it also provides tools for serious readers of journals to extend the missing steps in an analysis.This book is concerned with partial differential equations applied to fluids problems in science and engineering. Designed as a text for courses in mathematical methods in fluid mechanics in non-mathematics departments, it also provides tools for serious readers of journals to extend the missing steps in an analysis.This book is concerned with partial differential equations applied to fluids problems in science and engineering. This work 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. AsymplSà