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NOTES |
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Chapter 1 : SAMPLE WAVE PROBLEMS
- Transverse vibration of a taut string
- Longitudinal vibration of an elastic rod
- Traffic flow on a freeway
- Wave propagation in arteries
- Shallow water waves and linearization
- Sound in fluids
- Flexural waves in a beam on an elastic foundation
- Homework No. 1
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Chapter 2 : ONE DIMENSIONAL WAVES
- General solution to wave equation
- Branching of arteries
- Waves in an infinite domain due to initial disturbances
- Reflection of shallow water waves from a cliff
- Forced waves in an infinite domain
- String embedded in an elastic surrounding
- Dispersion from a localized initial disturbance
- Scattering of sinusoidal waves
- General identities in scattering by arbitrary in homogeneities
- Refraction in a slowly varying medium
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Chapter 3 : TWO DIMENSIONAL WAVES
- Reflection and transmission of sound at an interface
- Equations for elastic waves
- Free waves in infinite space
- Elastic wave sin a plane
- Reflection of elastic waves from a plane boundary
- Scattering of monochromatic SH waves
- Diffraction of SH wave by a long crack
- Rayleigh surface waves
- Elastic waves due to a load traveling on the ground
surface
- Partial wave expansion
- Approximate evaluation of an integral
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Chapter 4 : WAVES IN WATER
- Governing equations for waves on the sea surface
- Progressive waves on a sea of constant depth
- Wave resistance of a two-dimensional obstacle
- Narrow-banded dispersive waves in general
- Radiation of surface waves forced by an oscillating pressure
- The Kelvin pattern of ship wave
- Basic theory for two-dimensional Internal waves in a stratified fluid
- Internal waves modes for finite N
- Internal waves in a vertically unbounded fluid
- Reflection of internal waves at boundary
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Chapter 5 : MISCELLANEOUS TOPIC
- Wave localization in a random medium
- References
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| ADDITIONAL MATERIALS |
NOTES |
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Chapter 6: FORCED DISPERSIVE WAVES ALONG A NARROW CHANNEL
- Free Wave Propagation Along a Narrow Waveguide
- Forced Wave Propagation Along a Narrow Waveguide
- Initial Boundary Value Problem
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Chapter 7: INTERNAL WAVES IN A STRATIFIED FLUID
- Introduction
- Governing Equations for Incompressible Density-stratified Fluid
- The Buoyancy Frequency (Brunt-Vaisala frequency)
- Internal Gravity Waves in Unbounded Stratified Fluid
- Waveguide Behavior
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