<p>The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how th
Stability and Wave Propagation in Fluids and Solids
β Scribed by G. P. Galdi (eds.)
- Publisher
- Springer-Verlag Wien
- Year
- 1995
- Tongue
- English
- Leaves
- 159
- Series
- CISM International Centre for Mechanical Sciences 344
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.
β¦ Table of Contents
Front Matter....Pages ii-vii
Waves in Elastic Media....Pages 1-38
Stability of Flow in a Diverging Channel....Pages 39-65
Mathematical Theory of Second-Grade Fluids....Pages 67-104
Recent Results on Wave Propagation in Continuum Models....Pages 105-154
β¦ Subjects
Theoretical and Applied Mechanics; Thermodynamics; Fluid- and Aerodynamics
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This textbook covers the topics of sound waves, water waves and stability problems in fluids. It also touches upon the subject of chaos in relation to stability problems. The emphasis is on the understanding of essential features of the subject matter thus complicated details are omitted.
This textbook covers the topics of sound waves, water waves and stability problems in fluids. It also touches upon the subject of chaos in relation to stability problems. The emphasis is on the understanding of essential features of the subject matter thus complicated details are omitted.