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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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© The Author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Stability of sticky particle dynamics and related scalar conservation laws

Octave Moutsinga{dagger}

Faculté des Sciences, Département de Mathématiques et Informatique, Université des Sciences et Techniques de Masuku, BP 943 Franceville, Gabon

{dagger} 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) ↦ {phi}(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.


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