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).

14. Paralinearization and Local Well-Posedness Theory for the Two-Phase 3D Water-Waves System under background vorticity (With Federico Murgante, Emeric Roulley and Stefano Scrobogna), in progress.

13. The Navier-Stokes equation with large Fourier mode (with Yanlin Liu), in progress.

12. Global stability of vacuum for the relativistic Vlasov-Maxwell-Boltzmann system (With Chuqi Cao), preprint. The following file is about the details of proving key lemmas of wave equations in Section 4. 

11. Patterns in a Smoluchowski equation (with Arghir Zarnescu), Communications in Contemporary Mathematics (2025), online first.

10. On hydrostatic limit of Beris-Edwards system in a thin strip (with Francesco De Anna, Marius Paicu and Arghir Zarnescu), preprint.

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

8. The hydrostatic limit of the Beris-Edwards system in dimension two (with Marius Paicu and Arghir Zarnescu), Communications in Mathematical Sciences, Vol.22, No.6 (2024), 1701-1732.

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

Feb 2026 Seminar of Harbin Institute of Technology, Harbin, China.

Feb 2026 Seminar of Chinese Academy of Science, Beijing, China.

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.