4 papers
Stochastic homogenization of multicontinuum heterogeneous flows
Hakima Bessaih, Razvan Florian Maris
We consider a multicontinuum model in porous media applications, which is described as a system of coupled flow equations. The coupling between different continua depends on many f…
Stochastic homogenization for a diffusion-reaction model
Hakima Bessaih, Yalchin Efendiev, Razvan Florian Maris
In this paper, we study stochastic homogenization of a coupled diffusion-reaction system. The diffusion-reaction system is coupled to stochastic differential equations, which gover…
Homogenization of the evolution Stokes equation in a perforated domain with a stochastic Fourier boundary condition
Hakima Bessaih, Yalchin Efendiev, Florian Maris
The evolution Stokes equation in a perforated domain subject to Fourier boundary condition on the boundaries of the holes is considered. We assume that the dynamic is driven by a s…
Homogenization for Rigid Suspensions with Random Velocity-Dependent Interfacial Forces
Yuliya Gorb, Florian Maris, Bogdan Vernescu
We study suspensions of solid particles in a viscous incompressible fluid in the presence of highly oscillatory velocity-dependent surface forces. The flow at a small Reynolds numb…