Latifa Debbi

Latifa Debbi


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Research interests

The topic of my research is the study of qualitative and quantitative properties of deterministic and stochastic fractional partial differential equations. I am interested in fractional stochastic; scalar active equations, Navier-Stockes, quasi-geostrophic, Burgers, heat equations. I am considering space-time white,  colored  and fractional Brownian noises. In particular, I am investigating

1- the well posedness; existence, uniqueness and regularity of the solutions. 

2- the ergodic properties of the solutions.

3- the numerical approximations.

4- signed measures, probabilistic representations for the deterministic evolution fractional equations and application of Monte carlo method.