@ARTICLE{10.21494/ISTE.OP.2020.0580, TITLE={Problème de la valeur initiale pour le système dynamique des gaz à pression nulle non conservateur}, AUTHOR={Abhishek Das, K. T. Joseph, Manas R. Sahoo, }, JOURNAL={Avancées en Mathématiques Pures et Appliquées}, VOLUME={12}, NUMBER={Numéro 1 (Janvier 2021)}, YEAR={2021}, URL={http://www.openscience.fr/Probleme-de-la-valeur-initiale-pour-le-systeme-dynamique-des-gaz-a-pression}, DOI={10.21494/ISTE.OP.2020.0580}, ISSN={1869-6090}, ABSTRACT={In this article, we study initial value problem for the zero-pressure gas dynamics system in non conservative form and the associated adhesion approximation. We use adhesion approximation and modi-ed adhesion approximation in the construction of weak asymptotic solution. First we prove a general existence result for the adhesion model for the initial velocity component in $$$H^s \mbox{ for } s$$$ > $$$ \frac{n}{2} + 1$$$ and the initial data for the density component being a $$$C^1$$$ function. Using this, we construct weak asymptotic solution for the system with initial velocity in $$$L^2 \cap L^{\infty}$$$ and the initial density being a bounded Borel measure. Then we make a detailed analysis of the explicit formula for the weak asymptotic solution and generalized solution for the plane-wave type initial data.}}