2 papers
math.DS2026
Global random attractor for 3D stochastic Navier-Stokes equation with nonlinear colored noise
Xingjie Yan, Rong Yang, Alain Miranville
In this paper, we first introduce the definitions of random evolutionary system that associate with random evolutionary semigroup and the corresponding global weak or strong random…
math.AP2024
Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard system
Andrea Giorgini, Alain Miranville, Roger Temam
The motion of two contiguous incompressible and viscous fluids is described within the diffuse interface theory by the so-called Model H. The system consists of the Navier-Stokes e…