Mathematics of Open Fluid Systems (Nečas Center Series) - Softcover

Feireisl, Eduard; Novotný, Antonin

 
9783030947927: Mathematics of Open Fluid Systems (Nečas Center Series)
Softcover
ISBN 10: 3030947920 ISBN 13: 9783030947927
Verlag: Birkhäuser, 2022

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Eduard Feireisl is a Senior Researcher at the Institute of Mathematics of the Academy of Sciences of the Czech Republic. His main research interests include the theory of partial differential equations and dynamical systems with applications in fluid dynamics.  Milan Pokorny is an Associate Professor at the Charles University in Prague whose work primarily involves the theory of partial differential equations in mathematical fluid dynamics. Trygve Karper is a researcher at Schlumberger whose work focuses on numerical methods for compressible flows and the multiphase flow simulator OLGA.

Von der hinteren Coverseite

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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Verlag
Birkhäuser
Erscheinungsdatum
2022
Sprache
Englisch
ISBN 10 
3030947920
ISBN 13 
9783030947927
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
312
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