Approximation of a compressible Navier-Stokes system by non-linear   acoustical models
  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. 
Anna Rozanova-Pierrat (MAS)
math.AP math-ph math.MP