# Accession Number:

## AD0733458

# Title:

## Introduction to Mathematical Fluid Dynamics,

# Descriptive Note:

# Corporate Author:

## WISCONSIN UNIV MADISON DEPT OF MATHEMATICS

# Personal Author(s):

# Report Date:

## 1971-11-01

# Pagination or Media Count:

## 196.0

# Abstract:

The introduction to the concepts forming the physical and mathematical core of fluid dynamics is derived from a graduate course designed to give a basis on which engineers, physicists, and mathematicians can build a sophisticated understanding of the various branches of fluid dynamics. The bulk of the book is devoted to a discussion of the relation between viscous and ideal fluid motion. To this end, the notions of boundary layer theory are explained clearly in a central chapter. This is preceded by chapters on the constitutive equation, classical hydrodynamics and kinematics. Particular emphasis is placed on clear explanations of the relation between physical and mathematical assumptions. For balance, brief chapters on some central notions of rotating and compressible fluid theory are added. The treatment is sophisticated, but does not require heavy prerequisites in either mathematics or physics. For mathematical preparation, only a thorough understanding of calculus and vector analysis is presupposed more elaborate technical tools are explained where they appear. Author

# Descriptors:

# Subject Categories:

- Fluid Mechanics