Izvorni znanstveni članak

Stochastic perturbations method for a system of Riemann invariants

Olga S. Rozanova ; Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

Sažetak

Based on our results [1] on a representation of solutions to the Cauchy problem for multidimensional non-viscous Burgers equation obtained by a method of stochastic perturbation of the associated Langevin system, we deduce an explicit asymptotic formula for smooth solutions to the Cauchy problem for any genuinely nonlinear hyperbolic system of equations written in the Riemann invariants.

Ključne riječi

Riemann invariants; stochastic perturbation; the Cauchy problem; representation of solution; associated conservation laws

Hrčak ID:

130117

URI

https://hrcak.srce.hr/130117

Datum izdavanja:

10.12.2014.

Posjeta: 1.038 *