back

Stationary solutions to the Boltzmann equation in the hydrodynamic limit

  • Date March 3, 2016
  • Hour 3 pm
  • Room GSSI Main Lecture Hall
  • Speaker Raffaele Esposito (University of L'Aquila - MEMOCS)
  • Area Maths

ABSTRACT

While the Cauchy problem for the Boltzmann equation is widely studied, much less is known on the stationary boundary value problem, in particular in the hydrodynamic limit. Using a new L^2-L^\infty approach and new regularity-gain procedure, we prove that, near the global equilibrium, there is a unique positive solution to the stationary Boltzmann equation converging to the stationary solution to th incompressible Navier-Stokes-Fourier system. Moreover the solution is exponentially stable for small initial perturbations.