TY  - Type of reference 
TI  - Initial value problem for the nonconservative zero-pressure gas dynamics system 
AU  - Abhishek Das 
AU  - K. T. Joseph 
AU  - Manas R. Sahoo 
AB  - 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. 
DO  - 10.21494/ISTE.OP.2020.0580 
JF  - Advances in Pure and Applied Mathematics 
KW  - zero-pressure gas dynamics system,  adhesion approximation,  explicit formul, zero-pressure gas dynamics system,  adhesion approximation,  explicit formul,  
L1  - https://www.openscience.fr/IMG/pdf/iste_apam21v12n1_2.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2021/01/5 
SN  - 1869-6090 
TT  - Problème de la valeur initiale pour le système dynamique des gaz à pression nulle non conservateur 
UR  - https://www.openscience.fr/Initial-value-problem-for-the-nonconservative-zero-pressure-gas-dynamics-system 
IS  - Issue 1 (January 2021) 
VL  - 12 
ER  -