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Singular Limits in Thermodynamics of Viscous Fluids / by Eduard Feireisl, Antonín Novotný
(Advances in Mathematical Fluid Mechanics. ISSN:22970339)
版 | 2nd ed. 2017. |
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出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
出版年 | 2017 |
大きさ | XLII, 524 p : online resource |
著者標目 | *Feireisl, Eduard author Novotný, Antonín author SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Physics FREE:Differential Equations FREE:Classical and Continuum Physics |
一般注記 | Fluid Flow Modeling -- Weak Solutions, A Priori Estimates -- Existence Theory -- Asymptotic Analysis — An Introduction -- Singular Limits — Low Stratification -- Stratified Fluids -- Interaction of Acoustic Waves with Boundary -- Problems on Large Domains -- Acoustic Analogies -- Bibliographical Remarks This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids. "The main aim is to provide mathematically rigorous arguments how to get from the compressible Navier-Stokes-Fourier system several less complex systems of partial differential equations used e.g. in meteorology or astrophysics. However, the book contains also a detailed introduction to the modelling in mechanics and thermodynamics of fluids from the viewpoint of continuum physics. The book is very interesting and important. It can be recommended not only to specialists in the field, but it can also be used for doctoral students and young researches who want to start to work in the mathematical theory of compressible fluids and their asymptotic limits." Milan Pokorný (zbMATH) "This book is of the highest quality from every point of view. It presents, in a unified way, recent research material of fundament al importance. It is self-contained, thanks to Chapter 3 (existence theory) and to the appendices. It is extremely well organized, and very well written. It is a landmark for researchers in mathematical fluid dynamics, especially those interested in the physical meaning of the equations and statements." Denis Serre (MathSciNet) HTTP:URL=https://doi.org/10.1007/978-3-319-63781-5 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319637815 |
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EB00203282 |
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