Hydrodynamic Limits of the Boltzmann Equation [electronic resource] / by Laure Saint-Raymond.

By: Saint-Raymond, Laure [author.]Contributor(s): SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1971Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009Description: online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540928478Subject(s): Physics | Differential equations, partial | Thermodynamics | Statistics | Physics | Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences | Partial Differential Equations | Mechanics, Fluids, ThermodynamicsAdditional physical formats: Printed edition:: No titleOnline resources: Click here to access online
Contents:
The Boltzmann equation and its formal hydrodynamic limits -- Mathematical tools for the derivation of hydrodynamic limits -- The incompressible Navier-Stokes limit -- The incompressible Euler limit -- The compressible Euler limit.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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The Boltzmann equation and its formal hydrodynamic limits -- Mathematical tools for the derivation of hydrodynamic limits -- The incompressible Navier-Stokes limit -- The incompressible Euler limit -- The compressible Euler limit.

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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