Preprint 2004-045

Source Waves

Abstract: We propose a new concept of waves for hyperbolic systems with a source term and detail some examples arising in environment science, such as tidal bore waves, surf waves, roll waves, cyclones and hurricanes, and also other applications. These waves behave as solutions of homogeneous linear hyperbolic systems though they satisfy to non linear and non homogeneous systems.

Paper:

Available as Postscript (2.7 Mbytes) or gzipped PostScript (760 Kbytes; uncompress using gunzip).

Author(s):

Alain-Yves LeRoux <Alain-Yves.leroux@math.u-bordeaux1.fr>

Marie-Noelle LeRoux <Marie-Noelle.leroux@math.u-bordeaux1.fr>

Publishing information:

Comments:

Revised version 15 October 2004.

Submitted by:

<Alain-Yves.leroux@math.u-bordeaux1.fr> September 13 2004.