## Crynodeb

We relate together different models of non linear acoustic in thermo-elastic media as the Kuznetsov equation, the Westervelt equation, the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and the Nonlinear Progressive wave Equation (NPE) and estimate the time during which the solutions of these models keep closed in the L^{2} norm. The KZK and NPE equations are considered as paraxial approximations of the Kuznetsov equation. The Westervelt equation is obtained as a nonlinear approximation of the Kuznetsov equation. Aiming to compare the solutions of the exact and approximated systems in found approximation domains the well-posedness results (for the Kuznetsov equation in a half-space with periodic in time initial and boundary data) are obtained.

Iaith wreiddiol | Saesneg |
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Tudalennau (o-i) | 4231-4258 |

Nifer y tudalennau | 28 |

Cyfnodolyn | Discrete and Continuous Dynamical Systems- Series A |

Cyfrol | 40 |

Rhif cyhoeddi | 7 |

Dyddiad ar-lein cynnar | 27 Ebr 2020 |

Dynodwyr Gwrthrych Digidol (DOIs) | |

Statws | Cyhoeddwyd - 01 Gorff 2020 |