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Abstract : |
Abstract. Two systems of hyperbolic equations, arising in the multiphase semiclassical limit of the linear Schrdinger 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 dierent Eulerian methods able to reproduce superimposed signals with a nite number of phases. Analytical properties of these moment systems are investigated and compared. Ecient numerical discretizations and test-cases with increasing diculty are presented. 1., |
