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Mathematics of Open Fluid Systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematics of Open Fluid Systems/ by Eduard Feireisl, Antonin Novotný.
Author:	Feireisl, Eduard.
other author:	Novotný, Antonin.
Description:	XXVII, 284 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-94793-4
ISBN:	9783030947934

Mathematics of Open Fluid Systems
Feireisl, Eduard.

Mathematics of Open Fluid Systems[electronic resource] /by Eduard Feireisl, Antonin Novotný. - 1st ed. 2022. - XXVII, 284 p.online resource. - Nečas Center Series,2523-3351. - Nečas Center Series,.

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.

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.

ISBN: 9783030947934

Standard No.: 10.1007/978-3-030-94793-4doiSubjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Mathematics of Open Fluid Systems
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520 $a 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.
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