From particles to linear hydrodynamic equations
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: MSRI: Simons Auditorium
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
82B05 - Classical equilibrium statistical mechanics (general)
74B15 - Equations linearized about a deformed state (small deformations superposed on large)
76P05 - Rarefied gas flows, Boltzmann equation [See also 82B40, 82C40, 82D05]
70Hxx - Hamiltonian and Lagrangian mechanics [See also 37Jxx]
37Kxx - Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx]
76-XX - Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX}
14387
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.
Joint work with T. Bodineau, L. Saint-Raymond
 |
Gallagher-Notes
|
Download |
14387
| H.264 Video |
14387.mp4
|
Download |
Please report video problems to itsupport@msri.org.
See more of our Streaming videos on our main VMath Videos page.