From particles to linear hydrodynamic equations, part 2
Presenter
October 26, 2015
Keywords:
- Boltzmann hierarchy
- linearized Boltzmann
- Ideal gas, particles as hard spheres
- Infinite particle limit
- Low density limit
- Fluid equations, linear hydrodynamics
- Tagged particle, distinguished particle
- Brownian motion
MSC:
- 82B05
- 35R15
- 60J65
- 82C40
- 74B15
- 76P05
- 70Hxx
- 37Kxx
- 76-xx
Abstract
We derive the linear acoustic and Stokes-Fourier equations as the limiting dynamics of a system of hard spheres in a diluted gas in two space dimensions. We assume the system is initially close to equilibrium and we use the linearized Boltzmann equation as an intermediate step.