Research output per year
Research output per year
Personal profile
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.
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Large deviations for the 2D-fractional stochastic Navier-Stokes equation on the torus- short proof-.
Debbi, L., Sept 2013, (Unpublished) 4 p.Research output: Working paper › Preprint
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On the fractional stochastic Navier-Stokes equation on the torus and on bounded domains.
Debbi, L., 2013, (Unpublished). 42 p.Research output: Contribution to conference › Other
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Fractional stochastic active scalar equations generalizing the multi-D-Quasi-Geostrophic & 2D-Navier-Stokes equations. -Short note-
Debbi, L., 14 Aug 2012, (Unpublished).Research output: Working paper › Preprint
Activities
- 2 Conference participation
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9th International Meeting on Stochastic Partial Differential Equations and Applications
Latifa Debbi (Invited speaker)
6 Jan 2014 → 11 Jan 2014Activity: Participating in or organising an event › Conference participation
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NSF/CBMS Conference on Analysis of Stochastic Partial Differential Equations
Latifa Debbi (Invited speaker)
19 Aug 2013 → 23 Aug 2013Activity: Participating in or organising an event › Conference participation