Hydrodynamic Limits of the Boltzmann Equation

• Main Author: Saint-Raymond, Laure (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Mathematics, 1971
• Subjects: Physics.; Partial differential equations.; Continuum physics.; Statistics.; Classical Continuum Physics.; Partial Differential Equations.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.

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...

Table of 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.