Ebook: Hydrodynamic Limits of the Boltzmann Equation
Author: Laure Saint-Raymond (auth.)
- Genre: Mathematics
- Tags: Statistics for Engineering Physics Computer Science Chemistry &Geosciences, Partial Differential Equations, Mechanics Fluids Thermodynamics
- Series: Lecture Notes in Mathematics 1971
- Year: 2009
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.