A Mathematical Introduction to Fluid Mechanics

Fluid Mechanics and Mathematical Structures

This paper provides an informal survey of the various mathematical structures that appear in the most basic models of fluid motion.

Mathematical Principles of Classical Fluid Mechanics

A. Preface and introductory remarks B. The equation of motion I. Kinematics and dynamics of fluid motion II. Energy and momentum transfer III. Transformation of coordinates IV. Variational principles C. Incompressible and barotropic perfect fluids I.Genera1 princip1es II.Irrotationa1 motion III.Rotationa1 motion D. Thermodynamics and the energy equation I. Thermodynamics of simple media II. The...

Introduction to Continuum Mechanics

A NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS

The purpose of this study is to demonstrate the potential of Imperialist CompetitiveAlgorithm (ICA) for solving Blasius dierential equation. This algorithm is inspiredby competition mechanism among Imperialists and colonies and has demonstrated excellentcapabilities such as simplicity, accuracy, faster convergence and better global optimumachievement in contrast to other evolutionary algorithms...

Introduction to quantum mechanics

This chapter gives a brief introduction to quantum mechanics. Quantum mechanics can be thought of roughly as the study of physics on very small length scales, although there are also certain macroscopic systems it directly applies to. The descriptor “quantum” arises because in contrast with classical mechanics, certain quantities take on only discrete values. However, some quantities still take...