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Surface Waves in Water Channels: Mathematical Analysis

Delve into Chapter 10 of F. & W. to explore wave-like solutions and wave speed in water waves within a channel. Understand surface waves and their behaviors in this intriguing lecture.

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Surface Waves in Water Channels: Mathematical Analysis

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  1. PHY 711 Classical Mechanics and Mathematical Methods • 10-10:50 AM MWF Olin 103 • Plan for Lecture 35: • Chapter 10 in F & W: Surface waves • Water waves in a channel • Wave-like solutions; wave speed PHY 711 Fall 2012 -- Lecture 35

  2. PHY 711 Fall 2012 -- Lecture 35

  3. Consider a container of water with average height z0 and surface z: p0 z z0 z x PHY 711 Fall 2012 -- Lecture 35

  4. PHY 711 Fall 2012 -- Lecture 35

  5. dz(x,y,t)/dt z0 v(x,y,t) v(x+dx,y+dy,t) PHY 711 Fall 2012 -- Lecture 35

  6. PHY 711 Fall 2012 -- Lecture 35

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