Spherically Symmetric Solutions of Multi-dimensional Zero-pressure Gas Dynamics System
Analysis of PDEs
2014-04-29 v3
Abstract
In this article we find explicit formulae for spherically symmetric solutions of the multidimensional zero-pressure gas dynamics system and its adhesion approximation. The asymptotic behaviour of the explicit solutions of the adhesion approximation has been studied. The radial components of the velocity and density satisfy a simpler equation which enables us to get explicit formulae for different types of domains and study its asymptotic behaviour. A class of solutions for the inviscid system with conditions on the mass instead of conditions at origin has also been analyzed.
Cite
@article{arxiv.1301.0071,
title = {Spherically Symmetric Solutions of Multi-dimensional Zero-pressure Gas Dynamics System},
author = {Anupam Pal Choudhury and K. T. Joseph and Manas R. Sahoo},
journal= {arXiv preprint arXiv:1301.0071},
year = {2014}
}