Navier-Stokes-Fourier system with phase transitions

Watson, S. J. (2023) Navier-Stokes-Fourier system with phase transitions. Meccanica, 58(6), pp. 1163-1172. (doi: 10.1007/s11012-022-01620-7)

Abstract

We consider the Navier–Stokes–Fourier (NSF) system for a class of compressible fluids that exhibit a gas-liquid phase transition at low temperatures. For the initial-boundary value problem corresponding to thermally insulated end-points that are held at a constant pressure, we establish the existence and uniqueness of temporally global classical solutions. A novel feature of the analysis presented here is the derivation of uniform point-wise apriori estimates on the specific volume, which refines the non-uniform estimates framework developed in Watson (Arch Ration Mech Anal 153:1–37, 2000).

• Item Type: Articles
• Keywords: Navier-Stokes-Fourier system, a priori estimates, thermoviscoelasticity, phase transitions.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Watson, Dr Stephen
• Authors: Watson, S. J.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Meccanica
• Publisher: Springer
• ISSN: 0025-6455
• ISSN (Online): 1572-9648
• Published Online: 01 June 2023
• Copyright Holders: Copyright © 2022 The Author
• First Published: First published in Meccanica 58(6):1163-1172
• Publisher Policy: Reproduced under a Creative Commons license