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
particles as hard spheres
Infinite particle limit
Low density limit
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
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