Title :
The Riemann problem for the stochastically perturbed non-viscous Burgers equation and the pressureless gas dynamics model
Author :
Korshunova, A.A. ; Rozanova, O.S.
Author_Institution :
Math. & Mech. Dept., Lomonosov Moscow State Univ., Moscow, Russia
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 solution for these two models and relations between them.
Keywords :
initial value problems; partial differential equations; stochastic processes; Cauchy problem; Langevin system; Riemann problem; discontinuous solution behavior; noninteracting particles; nonviscous Burgers equation; pressureless gas dynamics model; sticky particle systems; stochastic perturbation; Approximation methods; Diffraction; Equations; Fourier transforms; Mathematical model; Piecewise linear approximation; Stochastic processes;
Conference_Titel :
Days on Diffraction (DD), 2009 Proceedings of the International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4244-4874-6
