## Abstract

Two systems of hyperbolic equations, arising in the multiphase semiclassical limit of the linear Schrödinger equations, are investigated. One stems from a Wigner measure analysis and uses a closure by the Delta functions, whereas the other relies on the classical WKB expansion and uses the Heaviside functions for closure. The two resulting moment systems are weakly and non-strictly hyperbolic respectively. They provide two different Eulerian methods able to reproduce superimposed signals with a finite number of phases. Analytical properties of these moment systems are investigated and compared. Efficient numerical discretizations and test-cases with increasing difficulty are presented.

Original language | English (US) |
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Pages (from-to) | 1689-1723 |

Number of pages | 35 |

Journal | Mathematical Models and Methods in Applied Sciences |

Volume | 13 |

Issue number | 12 |

DOIs | |

State | Published - Dec 2003 |

## All Science Journal Classification (ASJC) codes

- Modeling and Simulation
- Applied Mathematics