TY - Type of reference
TI - [Forthcoming] 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 -
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 -
LA - en
PB - ISTE OpenScience
DA - 2020/09/14
SN - 1869-6090
TT - [Forthcoming] 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 -

Forthcoming papers
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ER -