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Mathematics of open fluid systems

Feireisl, Eduard.

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Mathematics of open fluid systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematics of open fluid systems/ by Eduard Feireisl, Antonin Novotny.
Author:	Feireisl, Eduard.
other author:	Novotny, Antonin.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xxvii, 284 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Fluid mechanics. -
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 Novotny. - Cham :Springer International Publishing :2022. - xxvii, 284 p. :ill., digital ;24 cm. - Necas Center series,2523-3351. - Necas 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:

528155
Fluid mechanics.

LC Class. No.: QA901 / .F45 2022

Dewey Class. No.: 620.106

Mathematics of open fluid systems
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100 1 $a Feireisl, Eduard. $3 1003140
245 1 0 $a Mathematics of open fluid systems $h [electronic resource] / $c by Eduard Feireisl, Antonin Novotny.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2022.
300 $a xxvii, 284 p. : $b ill., digital ; $c 24 cm.
490 1 $a Necas Center series, $x 2523-3351
505 0 $a 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.
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.
650 0 $a Fluid mechanics. $3 528155
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Differential Equations. $3 907890
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 891089
650 2 4 $a Continuum Mechanics. $3 3538810
700 1 $a Novotny, Antonin. $3 1003139
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Necas Center series. $3 3596427
856 4 0 $u https://doi.org/10.1007/978-3-030-94793-4
950 $a Mathematics and Statistics (SpringerNature-11649)