Abstract
This paper is devoted to a numerical simulation of the classical
WKB system arising in geometric optics expansions. It contains the
nonlinear eikonal equation and a linear conservation law whose
coefficient
can be discontinuous. We address the problem of treating it in such a way
superimposed signals can be reproduced by means of the kinetic
formulation
of ``multibranch solutions'' originally due to Brenier and Corrias.
Some existence and
uniqueness results are given together with computational test-cases of
increasing difficulty displaying up to five multivaluations.
Anno
2002
Autori IAC
Tipo pubblicazione
Altri Autori
Gosse L.
Editore
Elsevier [etc.]
Rivista
Journal of computational physics (Print)