111 citations · 121 across the 3 of their papers we have counts for
3 papers
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.AP2008★ 111 cited
Blow up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations
Olga Rozanova
We prove that the smooth solutions to the Cauchy problem for the Navier-Stokes equations with conserved mass, total energy and finite momentum of inertia loses the initial smoothne…
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…