Mathematics of Open Fluid Systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00558128" target="_blank" >RIV/67985840:_____/22:00558128 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-94793-4" target="_blank" >http://dx.doi.org/10.1007/978-3-030-94793-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-94793-4" target="_blank" >10.1007/978-3-030-94793-4</a>

Result language
angličtina
Original language name
Mathematics of Open Fluid Systems
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GA21-02411S" target="_blank" >GA21-02411S: Solving ill posed problems in the dynamics of compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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