JOURNAL ARTICLE

Blow-up criteria for a fluid dynamical model arising in astrophysics.

  • Published In: Journal of Hyperbolic Differential Equations, 2023, v. 20, n. 3. P. 629 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Donatelli, Donatella; Pescatore, Lorenzo 3 of 3

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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Hyperbolic Differential Equations. 2023/09, Vol. 20, Issue 3, p629
  • Document Type:Article
  • Subject Area:Astronomy and Astrophysics
  • Publication Date:2023
  • ISSN:0219-8916
  • DOI:10.1142/S0219891623500194
  • Accession Number:173632485
  • Copyright Statement:Copyright of Journal of Hyperbolic Differential Equations is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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