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Hyperbolic Hydrodynamic Limits

  • Date October 11, 2018
  • Hour 3 pm
  • Room GSSI Library
  • Speaker Stefano Olla (CEREMADE - Universit√© Paris Dauphine)
  • Area Mathematics

ABSTRACT

I will present a review of old and new results (and open problems) concerning scaling limits for conservation laws in the hyperbolic space-time scale, for a system of anharmonic oscillators with external boundary tension. The macroscopic equation is given by the compressible Euler system, with corresponding boundary conditions. The problem is particularly challenging when shock waves are present. Some results exists when the microscopic dynamics is perturbed by a conservative stochastic viscosity. Works in Collaboration with Stefano Marchesani (GSSI) and Lu Xu (CEREMADE).