Mathematics of open fluid systems [electronic resource]
- 作者： Feireisl, Eduard.
- 其他作者：
- 其他題名：
- Necas Center series.
- 出版： Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名： Necas Center series,
- 主題： Fluid mechanics. , Functional Analysis. , Differential Equations. , Mathematical Modeling and Industrial Mathematics. , Continuum Mechanics.
- ISBN： 9783030947934 (electronic bk.) 、 9783030947927 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 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.
- 摘要註: 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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讀者標籤：
- 系統號： 005513378 | 機讀編目格式
館藏資訊
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.