32 citations · 102 across the 8 of their papers we have counts for
Showing math.APShow all
2 papers · 1 filter
math.AP2009★ 3 cited
Probabilistic model associated with the pressureless gas dynamics
Sergio Albeverio, Anastasia Korshunova, Olga Rozanova
Using a 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 pressureless…
math.AP2007★ 7 cited
The non-viscous Burgers equation associated with random positions in coordinate space: a threshold for blow up behaviour
Sergio Albeverio, Olga Rozanova
It is well known that the solutions to the non-viscous Burgers equation develop a gradient catastrophe at a critical time provided the initial data have a negative derivative in ce…