Jump to ContentJump to Main Navigation
Dynamics of Viscous Compressible Fluids$
Users without a subscription are not able to see the full content.

Eduard Feireisl

Print publication date: 2003

Print ISBN-13: 9780198528388

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198528388.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 23 May 2019



Dynamics of Viscous Compressible Fluids

Eduard Feireisl

Oxford University Press

This chapter contains a complete proof of the existence of global-in-time variational solutions for the full system of the Navier-Stokes equations of a viscous compressible and heat conducting fluid under suitable restrictions imposed on the constitutive laws. These restrictions are by no means optimal but, on the other hand, they seem to be in a good agreement with the underlying physical theory. Probably the most questionable hypothesis seems to be the necessity of the viscosity coefficients to be constant in all temperature regimes. On the other hand, as a by-product of our approach, we derive ‘optimal’ existence results for the barotropic flows with respect to the available (known) a priori estimates. Another novelty allowed by the present method is the possibility to consider general, not necessarily monotone, pressure-density constitutive equations arising in applications.

Keywords:   non-monotone pressure, Navier-Stokes-Fourier system, large data

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .