Spherically symmetric collapsing solution in the form of shadow wave

2025/08/17 by Nedeljkov, Marko, Ružičić, Sanja
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.12492

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.

Citations

• Global Solutions of the Compressible Euler-Poisson Equations with Large Initial Data of Spherical Symmetry

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