We analyse the existing derivation of the models of non-linear acoustics such as the Kuznetsov equation, the NPE equation and the KZK equation. The technique of introducing a corrector in the derivation ansatz allows to consider the solutions of these equations as approximations of the solution of the initial system (a com-pressible Navier-Stokes/Euler system). The validation of the approximation ansatz is given for the KZK equation case.
@article{arxiv.1601.05581,
title = {Approximation of a compressible Navier-Stokes system by non-linear acoustical models},
author = {Anna Rozanova-Pierrat},
journal= {arXiv preprint arXiv:1601.05581},
year = {2016}
}