# Blow up criteria for a fluid dynamical model arising in astrophysics

Source: [Blow up criteria for a fluid dynamical model arising in astrophysics](<https://www.sota2.com/research/paper/68fa59ce1e209131ce9ba4da>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T16:07:45.528Z

Authors: Donatella Donatelli, Lorenzo Pescatore

Published: 2022-11-21T14:33:31.000Z

## Abstract

In this paper we deal with the existence of local strong solution for a perfect compressible viscous fluid, heat conductive and self gravitating, coupled with a first order kinetics used in astrophysical hydrodynamical models. In our setting the vacuum is allowed and as a byproduct of the existence result we get a blow-up criterion for the local strong solution. Moreover we prove a blow-up criterion for the local strong solutions in terms of the velocity gradient, the mass fraction gradient and the temperature similar to the well known Beale-Kato-Majda criterion for ideal incompressible flows.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2211.11496>)

[PDF](<https://arxiv.org/pdf/2211.11496.pdf>)