Is there an established name for the differential equation that describes acoustic waves in viscous media?

15 June 2023 0 2K Report

The equation in question is of the form u_xx + a * u_tt + b * u_xxt = 0 and was first published by Stokes in the 19th century but does not seem to haven an established name.

Conversely, the differential equation of the form u_xx + a * u_tt + b * u_xxt + c * u_ttt = 0 has an additional term and is commonly called the Moore–Gibson–Thompson (MGT) equation. It seem kind of strange that this one has been named while the equation with one fewer term has not.

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