### Abstract

The blowup phenomenon for the initial-boundary value problem of the non-isentropic compressible Euler equations is investigated. More precisely, we consider a functional F(t) associated with the momentum and weighted by a general test function f and show that if F(0) is sufficiently large, then the finite time blowup of the solutions of the non-isentropic compressible Euler equations occurs. As the test function f is a general function with only mild conditions imposed, a class of blowup conditions is established. Copyright © 2018 Author(s).

Original language | English |
---|---|

Article number | 041502 |

Journal | Journal of Mathematical Physics |

Volume | 59 |

Issue number | 4 |

Early online date | Apr 2018 |

DOIs | |

Publication status | Published - 2018 |

### Fingerprint

Compressible Euler Equations

Test function

boundary value problems

Initial-boundary-value Problem

Blow-up

Finite Time Blow-up

Momentum

momentum

Class