Mathematics of open fluid systems / Eduard Feireisl, Antonin Novotný.
Feireisl, Eduard, author.; Novotný, A., author.
2022
QA901
Available Online

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Title Mathematics of open fluid systems / Eduard Feireisl, Antonin Novotný.
Author Feireisl, Eduard, author.
ISBN 9783030947934 (electronic bk.)
3030947939 (electronic bk.)
3030947920 (print)
9783030947927 (print)
DOI https://doi.org/10.1007/978-3-030-94793-4
Publication Details Cham, Switzerland : Springer, 2022.
Language English
Description 1 online resource.
Item Number 10.1007/978-3-030-94793-4 doi
Call Number QA901
Dewey Decimal Classification 620.1/06
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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 7, 2022).
Added Author Novotný, A., author.
Series Nečas Center series.
Available in Other Form Print version: 9783030947927
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Part I: Modelling
Mathematical Models of Fluids in Continuum Mechanics
Open vs. Closed Systems
Part II: Analysis
Generalized Solutions
Constitutive Theory and Weak-Strong Uniqueness Revisited.-Existence Theory, Basic Approximation Scheme
Vanishing Galerkin Limit and Domain Approximation.-Vanishing Artificial Diffusion Limit
Vanishing Artificial Pressure Limit
Existence Theory - Main Results.-Part III: Qualitative Properties
Long Time Behavior
Statistical Solutions, Ergodic Hypothesis, and Turbulence
Systems with Prescribed Boundary Temperature.

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