## 抄録

Blackstock–Crighton equations describe the motion of a viscous, heat-conducting, compressible fluid. They are used as models for acoustic wave propagation in a medium in which both nonlinear and dissipative effects are taken into account. In this article, a mathematical analysis of the Blackstock–Crighton equations with a time-periodic forcing term is carried out. For time-periodic data sufficiently restricted in size it is shown that a time-periodic solution of the same period always exists. This implies that the dissipative effects are sufficient to avoid resonance within the Blackstock–Crighton models. The equations are considered in a bounded domain with both non-homogeneous Dirichlet and Neumann boundary values. Existence of a solution is obtained via a fixed-point argument based on appropriate a priori estimates for the linearized equations.

本文言語 | English |
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論文番号 | 45 |

ジャーナル | Journal of Mathematical Fluid Mechanics |

巻 | 21 |

号 | 3 |

DOI | |

出版ステータス | Published - 2019 9 1 |

外部発表 | はい |

## ASJC Scopus subject areas

- 数理物理学
- 凝縮系物理学
- 計算数学
- 応用数学