Stochastic perturbations method for a system of Riemann invariants
Rozanova, Olga S.
Mathematical Communications, Tome 19 (2014) no. 1, p. 573-580 / Harvested from Mathematical Communications
Text on Mathematical Communications
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.
Publié le : 2014-11-23
Classification:  Riemann invariants; stochastic perturbation; the Cauchy problem; representation of solution; associated conservation laws,  35L40 35L65 
@article{mc473,
     author = {Rozanova, Olga S.},
     title = {Stochastic perturbations method for a system of Riemann invariants},
     journal = {Mathematical Communications},
     volume = {19},
     number = {1},
     year = {2014},
     pages = { 573-580},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc473}
}

Rozanova, Olga S. Stochastic perturbations method for a system of Riemann invariants. Mathematical Communications, Tome 19 (2014) no. 1, pp.  573-580. http://gdmltest.u-ga.fr/item/mc473/