On a stochastic 2D Cahn-Hilliard-Navier-Stokes system driven by jump noise
Article
Deugoue, G, Tachim Medjo, T. (2019). On a stochastic 2D Cahn-Hilliard-Navier-Stokes system driven by jump noise
. Communications on Stochastic Analysis, 13(1), 77-106. 10.31390/cosa.13.1.05
Deugoue, G, Tachim Medjo, T. (2019). On a stochastic 2D Cahn-Hilliard-Navier-Stokes system driven by jump noise
. Communications on Stochastic Analysis, 13(1), 77-106. 10.31390/cosa.13.1.05
We investigate a stochastic 2D Cahn-Hilliard-Navier-Stokes system with a multiplicative noise of Lévy type. The model consists of the Navier-Stokes equations for the velocity, coupled with a Cahn-Hilliard system for the order (phase) parameter. We prove that the system has a unique global strong solution and we derive some a priori estimates for the solution.