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The mathematics of PDEs and the wave equation
thus its kinetic energy, one half mass times velocity squared, is ∆K = 1 2 ρ·(u t)2∆x. The total kinetic energy for the string is given by an integral, K = 1 2 Z L 0 ρ·(u t)2 dx. From Hooke’s law, the potential energy for a string is (k/2)y2, where y is the length of the spring. Forthestretchedstring ...
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The mathematics of PDEs and the wave equation
www.mathtube.orgThe mathematics of PDEs and the wave equation Michael P. Lamoureux ∗ University of Calgary Seismic Imaging Summer School August 7–11, 2006, Calgary
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