Spherically symmetric collapsing solution in the form of shadow wave
Analysis of PDEs
2025-08-19 v1
Abstract
This paper deals with isothermal Euler-Poisson system which is used to model collapse of self-gravitating Newtonian star. Density dependent viscosity term is added on the right-hand side of momentum equation and it has been proved that there exists stable shadow wave solution with unbounded density at the origin. This results is extended to the vanishing pressure case.
Cite
@article{arxiv.2508.12492,
title = {Spherically symmetric collapsing solution in the form of shadow wave},
author = {Marko Nedeljkov and Sanja Ružičić},
journal= {arXiv preprint arXiv:2508.12492},
year = {2025}
}