Research

Analysis and PDE

Education

2009-2013 Bachelor, Peking University

2013-2014 Master, Université Paris-Sud (Paris XI)

2014-2017 Ph.D., Université Paris-Sud (Paris XI)

Work Experience

2020–Present Assistant Professor, YMSC

2017-2020 Postdoctoral Researcher, University of Basel

Publication

[1] Y. Lan. Stable self-similar blow-up dynamics for slightly L2-supercritical generalized KdV equations, Comm. Math. Phys.345(2016), no. 1, 223–269.

[2] Y. Lan. Blow-up solutions for L2-supercritical gKdV equations with exactly k blow-up points, Nonlinearity30(2017), no. 8, 3203–3240.

[3] Y. Lan. On asymptotic dynamics for L2-critical generalized KdV equations with a sat- urated perturbation, Anal. PDE12(2019), no. 1, 43-112.

[4] Y. Lan. On continuation properties after blow-up time for L2-critical gKdV equations, Rev. Mat. Iberoamericana36(2020), no. 4, 957-984.

[5] Y. Lan. On blow-up dynamics for L2-critical fractional Schr ̈odinger equations, preprint, arXiv:1908.09561, to appear in Int. Math. Res. Not. IMRN.