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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 research worker at the Institute of Mathematics of the Czech Academy of Sciences and full professor at Charles University in Prague. He authored or coauthored 7 research monographs and over 300 research papers registered by the database MathSciNet. His main research interest is the abstract theory of partial differential equations with application in fluid mechanics, including numerical analysis and the effect of stochastic phenomena. He is one of the leading experts in the field of mathematical fluid mechanics. Mária Luká¿ová-Medvi¿ová is professor for Applied Mathematics at the Johannes Gutenberg-University Mainz. She is a vice speaker of the Research Center Multiscale Simulation Methods for Soft Matter Systems and of the Mainz Institute for Multiscale Modeling. Her research interests lay in numerics and analysis of partial differential equations. She made important contributions to the development of structure-preserving schemes for hyperbolic conservation laws and hybrid multiscale methods for complex fluids. She received various awards, such as the Prize of the Czech Learned Society in 2002, Bronze Medal of the University of Ko?ice in 2013, or the Gutenberg Research College Fellowship in 2020. Hana Mizerová is an assistant professor at the Department of Mathematical Analysis and Numerical Mathematics of Comenius University in Bratislava, Slovakia. Her research focuses on numerical analysis of partial differential equations in fluid mechanics. In 2018, she was awarded the Seal of Excellence by the European Commission. Bangwei She is a research worker at the Institute of Mathematics of the Czech Academy of Sciences. His research interests are in numerical analysis and scientific computing, particularly for partial differential equations with a focus on computational fluid dynamics.

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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