Mathematics of open fluid systems

Mathematics of open fluid systems / Eduard Feireisl, Antonin Novotný.

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...

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Bibliographic Details
Main Authors: Feireisl, Eduard (Author), Novotný, A. (Author)
Format: eBook
Language:English
Published: Cham, Switzerland : Springer, 2022.
Series:Nečas Center series.
Subjects:
Fluid mechanics.
Mecánica de fluidos
Fluid mechanics
Mecànica de fluids.
Electronic books.
Llibres electrònics.
Online Access:Click for online access
Description
Summary: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.
Physical Description:1 online resource.
Bibliography:Includes bibliographical references and index.
ISBN:9783030947934
3030947939
Source of Description, Etc. Note:Online resource; title from PDF title page (SpringerLink, viewed April 7, 2022).

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