10 papers
Turbulent stretching of FENE dumbbell polymer model via special stochastic scaling and singular limits
Federico Butori, Yassine Tahraoui
We investigate the stretching mechanism of Finitely Extensible Nonlinear Elastic (FENE) model of polymers in a random turbulent flow. The turbulent model includes a dominant space-…
Small-scale turbulence limit of Fokker-Planck equation for polymers in turbulent flow
Yassine Tahraoui
We study the singular limit of Fokker-Planck equation of polymers density as the dominant time-scale of small scale component of turbulent flow goes to zero. Here, we complete the…
Hasegawa-Mima equation in bounded domain with singular density
Franco Flandoli, Yassine Tahraoui
We investigate the well-posedness of Hasegawa-Mima equation (HME) in bounded domain with Dirichlet boundary condition and singular density under different regularity assumptions on…
Stochastic pseudomonotone parabolic obstacle problem: well-posedness Lewy-Stampacchia's inequalities
Niklas Sapountzoglou, Yassine Tahraoui, Guy Vallet +1
We consider obstacle problems for nonlinear stochastic evolution equations. More precisely, the leading operator in our equation is a nonlinear, second order pseudomonotone operato…
Ergodicity for stochastic T-monotone parabolic obstacle problems
Yassine Tahraoui
This work aims to investigate the existence of ergodic invariant measures and its uniqueness, associated with obstacle problems governed by a T-monotone operator defined on Sobolev…
A nonlinear stochastic diffusion-convection equation with reflection
Niklas Sapountzoglou, Yassine Tahraoui, Guy Vallet +1
We study a nonlinear, pseudomonotone, stochastic diffusion-convection evolution problem on a bounded spatial domain, in any space dimension, with homogeneous boundary conditions an…