The Riemann problem to the stochastically perturbed non-viscous Burgers equation and the pressureless gas dynamics model

Details The Riemann problem to the stochastically perturbed non-viscous Burgers equation and the pressureless gas dynamics model The Riemann problem to the stochastically perturbed non-viscous Burgers equation and the pressureless gas dynamics model

2009-05-12

arxiv.org/abs/0905.1794v5

Proceedings of the Inter-national Conference "Days on Diffraction" 2009 May 26 - 29, 2009, St.Petersburg, Russia, pp.108-114

Mathematics

Analysis of PDEs

9 pages, to appear in the Proceegings of the International Conference "Days of Difraction", St.Petersburg, May 26-29, 2009

Scientific paper

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.

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