Chenjie Fan's homepage（范晨捷的主页）

简介： Hello, I am Chenjie Fan. I am currently an associate proessor at Academy of Mathematics and System Science, Chinese Academy of Sciences. I obtained my Phd in MIT, 2017, under the supervision of Gigliola Staffilani. After that, I did my postdoc (Dickson Instructor) at Unversity of Chicago, 2017-2020, mentored by Carlos Kenig.

研究兴趣：I am mostly interested in nonlinear dispersive PDE, via both determnistic and probalistic approaches. I am a very open mind person and interested in PDE and Analysis related questions. I am also interested in stochastic analysis recently. All my papers can be found in Arxiv,

arxiv.org/search/?query=chenjie+fan&searchtype=all&source=header

论文 Research:

1. Long time behavior of stochastic NLS with a small multiplicative noise,  Joint with Weijun Xu and Zehua Zhao, arxiv preprint.

2. A note on log-log blow up solutions for stochastic nonlinear Schrödinger equations, joint with Yiming Su, Deng Zhang, Stochastics and Partial Differential Equations: Analysis and Computations.

3. On long time behavior for stochastic nonlinear Schrödinger equations with a multiplicative noise, with Zehua Zhao, submitted.

4. Construction of L2 log-log blowup solutions for the mass critical nonlinear Schrödinger equation, with Dana Mendelson, to appear in JEMS.

5. Decay estimates for nonlinear Schrödinger equations, with Zehua Zhao, DCDS

6. 2D-Defocusing Nonlinear Schrödinger Equation with Random Data on Irrational Tori, with Gigliola Staffilani, Yumeng Ou, Hong Wang,  Stochastics and Partial Differential Equations: Analysis and Computations.

7. A Wong-Zakai theorem for the stochastic mass critical NLS, with Weijun Xu, SIMA

8.Decay of the stochastic linear Schrödinger equation in d\geq 3 with small multiplicative noise, with Weijun Xu,  Stochastics and Partial Differential Equations: Analysis and Computations.

9. Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on R, with Weijun Xu, JDE

10. Global well-posedness for the defocusing mass-critical stochastic nonlinear Schrödinger equation on R with L2 regularity, with Weijun Xu, to appear in APDE

11. On a bilinear Strichartz estimate on irrational tori , with Gigliola Staffilani, Hong Wang, Bobby Wilson, APDE

12. The L2 weak sequential convergence of radial mass critical NLS solutions with mass above the ground state, IMRN

13. On a variational problem related to NLS on Hyperbolic space, with Peter Kleinhenz, arxiv preprint,

14. Log-log blow up solutions blow up at exactly m points, AIHP

15. Convergence of eigenvalues to the support of the limiting measure in critical \beta matrix models, with Alice Guionnet, Yuqi Song, Andi Wang, Random Matrices: Theory and Applications