Strong solution to stochastic 2D nonlocal Cahn-Hilliard-Oldroyd model of order one: Existence and uniqueness Article

Deugoué, G, Jidjou Moghomye, B, Tachim Medjo, T. (2022). Strong solution to stochastic 2D nonlocal Cahn-Hilliard-Oldroyd model of order one: Existence and uniqueness . JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 509(2), 10.1016/j.jmaa.2021.125982

cited authors

  • Deugoué, G; Jidjou Moghomye, B; Tachim Medjo, T

authors

abstract

  • We consider a stochastic model for the motion of an incompressible isothermal mixture of two immiscible non-Newtonian fluids perturbed by a multiplicative noise of Gaussian and Levy type. The model consists of the stochastic Oldroyd model of order one, coupled with a stochastic nonlocal Cahn-Hilliard model. Global existence and uniqueness of strong probabilistic solution is established. Moreover, we show that the sequence of Galerkin approximation converges in mean square to the exact strong probabilistic solution of the problem.

publication date

  • May 15, 2022

published in

Digital Object Identifier (DOI)

volume

  • 509

issue

  • 2