The Riemann problem to the stochastically perturbed non-viscous Burgers equation and the pressureless gas dynamics model
arXiv:0905.1794
Abstract
Proceeding from the method of stochastic perturbation of a Langevin system associated with the non-viscous Burgers equation we construct a solution to the Riemann problem for the non-interacting particles and sticky particles systems. We analyze the difference in the behavior of discontinuous solutions for these two models and relations between them.
9 pages, to appear in the Proceegings of the International Conference "Days of Difraction", St.Petersburg, May 26-29, 2009