Hydrodynamic Limits of the Boltzmann Equation

The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation...

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Bibliographic Details
Main Author: Saint-Raymond, Laure. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Series:Lecture Notes in Mathematics, 1971
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-92847-8
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505 0 # |a 1 Introduction -- 2 The Boltzmann equation and its formal hydrodynamic limits -- 3 Mathematical tools for the derivation of hydrodynamiclimits -- 4 The incompressible Navier-Stokes limit -- 5 The incompressible Euler limit -- 6 The compressible Euler limit. 
520 # # |a The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy. 
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