IMA Journal of Applied Mathematics Advance Access published online on February 18, 2009
IMA Journal of Applied Mathematics, doi:10.1093/imamat/hxp006
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Stability of sticky particle dynamics and related scalar conservation laws

Faculté des Sciences, Département de Mathématiques et Informatique, Université des Sciences et Techniques de Masuku, BP 943 Franceville, Gabon
Email: octavemoutsing-pro{at}yahoo.fr
Received on March 10, 2008; Revision received December 1, 2008. Accepted on January 18, 2009
We show the stability of the sticky particle forward flow (x, s, t)
(x, s, Pt, ut) w.r.t. perturbations of the initial mass distribution P0 and velocity function u0. Then, we deduce the stability of related scalar conservation laws and pressureless gas system.
Keywords: stochastic process; sticky particles model; stability; forward flow; scalar conservation law; pressureless gas system.