Mathematics of Open Fluid Systems

0558128 - MÚ 2023 RIV CH eng B - Monography
Feireisl, Eduard - Novotný, A.
Mathematics of Open Fluid Systems.
1. - Cham: Birkhäuser, 2022. 284 s. Nečas Center Series. ISBN 978-3-030-94792-7. ISSN 2523-3343
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : fluid system * mathematical models * continuum mechanics
OECD category: Pure mathematics
https://doi.org/10.1007/978-3-030-94793-4

The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text. A class of generalized solutions to the Navier-Stokes-Fourier system is considered in Part II in order to show existence of global-in-time solutions for any finite energy initial data, as well as to establish the weak-strong uniqueness principle. Finally, Part III addresses questions of asymptotic compactness and global boundedness of trajectories and briefly considers the statistical theory of turbulence and the validity of the ergodic hypothesis.
Permanent Link: http://hdl.handle.net/11104/0331934