16 citations · 46 across the 30 of their papers we have counts for
4 papers · 1 filter
Regularization by noise in (2x 2) hyperbolic systems of conservation law
Christian Olivera
In this paper we study a non strictly systems of conservation law by stochastic perturbation. We show the existence and uniqueness of the solution. We do not assume that -regul…
Well-posedness of the non-local conservation law by stochastic perturbation
Christian Olivera
Stochastic non-local conservation law equation in the presence of discontinuous flux functions is considered in an setting. The flux function is assumed bounded a…
Regularization by noise in one-dimensional continuity equation
Christian Olivera
A linear stochastic continuity equation with non-regular coefficients is considered. We prove existence and uniqueness of strong solution, in the probabilistic sense, to the Cauchy…
Non-local Conservation Law from Stochastic Particle Systems
Christian Olivera, Marielle Simon
In this paper we consider an interacting particle system in modelled as a system of stochastic differential equations driven by Lévy processes. The limiting beha…