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Singular Limits in Thermodynamics of Viscous Fluids
Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system o...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Advances in Mathematical Fluid Mechanics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 003 | DE-He213 | ||
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| 008 | 100301s2009 sz | s |||| 0|eng d | ||
| 020 | |a 9783764388430 |9 978-3-7643-8843-0 | ||
| 024 | 7 | |a 10.1007/978-3-7643-8843-0 |2 doi | |
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| 072 | 7 | |a PHD |2 thema | |
| 082 | 0 | 4 | |a 530 |2 23 |
| 100 | 1 | |a Feireisl, Eduard. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Singular Limits in Thermodynamics of Viscous Fluids |h [electronic resource] / |c by Eduard Feireisl, Antonín Novotný. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2009. | |
| 300 | |a XXXVI, 382 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Advances in Mathematical Fluid Mechanics, |x 2297-0339 | |
| 505 | 0 | |a 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. | |
| 520 | |a Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids. | ||
| 650 | 0 | |a Physics. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 1 | 4 | |a Classical and Continuum Physics. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Analysis. |
| 700 | 1 | |a Novotný, Antonín. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783764398569 |
| 776 | 0 | 8 | |i Printed edition: |z 9783764388423 |
| 830 | 0 | |a Advances in Mathematical Fluid Mechanics, |x 2297-0339 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-7643-8843-0 |z Texto Completo |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||