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:
Online Access:Click for online access

MARC

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100 1 |a Feireisl, Eduard,  |e author. 
245 1 0 |a Mathematics of open fluid systems /  |c Eduard Feireisl, Antonin Novotný. 
260 |a Cham, Switzerland :  |b Springer,  |c 2022. 
300 |a 1 online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Nečas Center series 
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. 
504 |a Includes bibliographical references and index. 
588 0 |a Online resource; title from PDF title page (SpringerLink, viewed April 7, 2022). 
650 0 |a Fluid mechanics. 
650 7 |a Mecánica de fluidos  |2 embne 
650 7 |a Fluid mechanics  |2 fast 
650 7 |a Mecànica de fluids.  |2 thub 
655 0 |a Electronic books. 
655 7 |a Llibres electrònics.  |2 thub 
700 1 |a Novotný, A.,  |e author. 
758 |i has work:  |a MATHEMATICS OF OPEN FLUID SYSTEMS (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCYHYx4TpgPKtXBRx8wjVyb  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |c Original  |z 3030947920  |z 9783030947927  |w (OCoLC)1288668925 
830 0 |a Nečas Center series. 
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903 |a SPRING-MATH2022 
994 |a 92  |b HCD