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Claes Hedberg: A general, analytical and exact solution to the Burgers equation

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Föreläsare/Lecturer

Claes Hedberg, professor i maskinteknik, BTH

Titel/Title

A general, analytical and exact solution to the Burgers equation

Sammanfattning/Abstract

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.

Today, 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 isvalid for any frequencies, amplitudes and phases. Several examples are shown.

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