课题项目
(1)中国博士后科学基金会,非线性狄拉克方程孤立波解稳定性的若干研究, 2020/11-2023/06, 8万元, 已结题, 主持。
代表论著
[1] John F Dawson, Fred Cooper, Avinash Khare, Bogdan Mihaila, Edward Arévalo, Ruomeng Lan, Andrew Comech, Avadh Saxena: Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl–Teller external potential, Journal of Physics A: Mathematical and Theoretical, 50(50),505202,2017
[2] Ciprian Foias, Michael S. Jolly, Ruomeng Lan, Rishika Rupam, Yong Yang, Bingsheng Zhang: Time analyticity with higher norm estimates for the 2D Navier–Stokes equations, IMA Journal of Applied Mathematics, 80(3): 766-810,2015
[3] Jesús Cuevas–Maraver, Panayotis G. Kevrekidis, Avadh Saxena, Andrew Comech, Ruomeng Lan: Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model, Physical Review Letters, 2016, 116(21), 214101,2016
[4] Jesús Cuevas-Maraver, Nabile Boussaïd, Andrew Comech, Ruomeng Lan, Panayotis G.Kevrekidis, Avadh Saxena: Nonlinear Systems, Vol. 1 (Solitary Waves in the Nonlinear Dirac Equation), Springer International Publishing, 2018