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Mathematics of open fluid systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematics of open fluid systemsby 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.
Contained By:	Springer Nature eBook
Subject:	Fluid mechanics.
Online resource:	https://doi.org/10.1007/978-3-030-94793-4
ISBN:	9783030947934$q(electronic bk.)

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$q(electronic bk.)

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

189003
Fluid mechanics.

LC Class. No.: QA901 / .F45 2022

Dewey Class. No.: 620.106

Mathematics of open fluid systems
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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 189003
650 1 4 $a Functional Analysis. $3 274845
650 2 4 $a Differential Equations. $3 285983
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 274070
650 2 4 $a Continuum Mechanics. $3 913390
700 1 $a Novotny, Antonin. $3 340150
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Necas Center series. $3 925305
856 4 0 $u https://doi.org/10.1007/978-3-030-94793-4
950 $a Mathematics and Statistics (SpringerNature-11649)