书目名称 | Mathematics of Open Fluid Systems |
编辑 | Eduard Feireisl,Antonin Novotný |
视频video | |
概述 | Presents a mathematical theory of open fluid systems in the context of continuum thermodynamics.Develops a concept of weak solutions based on entropy rather than the energy balance equation.Considers |
丛书名称 | Nečas Center Series |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2022 |
关键词 | Mathematical Fluid Mechanics; Open Fluid Systems; Navier-Stokes-Fourier System; Ergodic Hypothesis; Stat |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-94793-4 |
isbn_softcover | 978-3-030-94792-7 |
isbn_ebook | 978-3-030-94793-4Series ISSN 2523-3343 Series E-ISSN 2523-3351 |
issn_series | 2523-3343 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |