Abstract
Two systems of hyperbolic equations, arising in the multiphase
semiclassical limit of the linear Schr\"odinger 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.
Anno
2003
Autori IAC
Tipo pubblicazione
Altri Autori
Gosse L., Jin S., Li X.
Editore
World Scientific.
Rivista
Mathematical models and methods in applied sciences