Research

My research interests are mainly about nonlinear partial differential equations, mathematical physics and harmonic analysis.

Publications and preprints

Please note that the published versions of the papers might be slightly different from the preprint versions (arXiv, HAL). 

10. The Vlasov-Maxwell-Boltzmann/Landau system with polynomial perturbation near Maxwellian (with Chuqi Cao and Dingqun Deng), preprint. arXiv .

9.  Patterns in a Smoluchowski equation (with Arghir Zarnescu), preprint. arXiv .

8. The hydrostatic limit of the Beris-Edwards system in dimension two (with Marius Paicu and Arghir Zarnescu), preprint. arXiv .

7. The Vlasov-Poisson-Boltzmann/Landau system with polynomial perturbation near Maxwellian (with Chuqi Cao and Dingqun Deng), SIAM Journal on Mathematical Analysis, Vol.56, No.1 (2024), 820-876.

6. Large time asymptotic behaviors of two types of fast diffusion equations (with Chuqi Cao), preprint.   hal, arXiv.

5. Asymptotic behavior of Nernst-Planck equation, preprint. hal, arXiv.

4. Generalized logarithmic Hardy-Littlewood-Sobolev inequality (with Jean Dolbeault),  International  Mathematical Research Notices, No.23 (2021) 17862-17874.

3. L2-Hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system (with Lanoir Addala, Jean Dolbeault and Lazhar Tayeb), Journal of Statistical Physics, Vol.184, No.1  (2021) 1-34. 

2. Phase Transition and Asymptotic Behavior of Flocking Cucker--Smale Model , Multiscale Modeling and Simulation, Vol.19 (2021) 1760-1783.

1.  Phi-Entropies: convexity, coercivity and hypocoercivity for Fokker-Planck and kinetic Fokker-Planck equations (with Jean Dolbeault), Mathematical Models and methods in Applied Sciences, Vol. 28, No. 13 (2018) 2637-2666. 

I had my PhD defense on December 2nd, 2019,  My PhD thesis can be found here .

Talks

Jan 2023  Seminar MAC, Universite de Toulouse III Paul Sabatier, Toulouse, France.

Dec 2022  Conference 'Mathflows 2022', Marseille, France.

Oct 2022  Workshop 'Against the Flow', Bedlewo,  Poland.

Jul  2022  Bilbao Analysis and PDE seminar, BCAM,  Bilbao, Spain.

Dec 2021  Analysis & PDE seminar, Beihang University, Beijing, China. (online)

Oct 2021  Workshop EFI, Ceremade, Universite Paris Dauphine, Paris, France.

Mar 2018  Workshop EFI, UPMC (Paris 6),  Paris, France.