Approximation of a compressible Navier-Stokes system by non-linear acoustical models

Abstract

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.

Cited by in corpus (2)

• Mixed boundary valued problem for linear and nonlinear wave equations in domains with fractal boundaries
• Models of Nonlinear Acoustics Viewed as Approximations of the Kuznetsov Equation