## Abstract

We consider the incompressible limit of the compressible Euler equation in the half-space R_{+}^{n}. It is proved that the solutions of the non-dimensionalized compressible Euler equation converge to the solution of the incompressible Euler equation when the Mach number tends to zero. If the initial data υ_{0}^{∞} do not satisfy the condition `▽·v_{0}^{∞} = 0', then the initial layer will appear.

Original language | English |
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Pages (from-to) | 945-958 |

Number of pages | 14 |

Journal | Mathematical Methods in the Applied Sciences |

Volume | 20 |

Issue number | 1 |

Publication status | Published - 1997 Jan 1 |

Externally published | Yes |

## ASJC Scopus subject areas

- Mathematics(all)
- Engineering(all)

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