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Tuesday, July 9 • 11:10 - 11:30
A GENERAL, ANALYTICAL AND EXACT SOLUTION TO THE BURGERS EQUATION

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The Burgers equation is the most well known equation of nonlinear acoustics. It was originally derived as a description of turbulence but has other uses such as being able to describe the evolution of the structure of the universe and is additionally often used as model equation when testing nonlinear numerical solvers. Here, the derivation of the general analytical solution to the Burgers equation is gone through. The solution is exact - both as a solution to the equation and to the boundary condiditon - and is valid for any frequencies, amplitudes and phases. Calculations related to applications such as Nonlinear Acoustic Non-Destructive Testing and Parametric Arrays are shown.

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Tuesday July 9, 2019 11:10 - 11:30 EDT
Westmount 1