刘旋

姓名： 刘旋

职称： 讲师

邮箱： liuxuan95@hznu.edu.cn

个人简介：

2023.08-至今 杭州师范大学数学学院 讲师

2018.09-2023.06 浙江大学硕博连读 基础数学

2014.09-2018.06 北京化工大学本科 数学与应用数学

研究方向：偏微分方程 非线性薛定谔方程

教学与课程：《高等数学B1》《高等数学B2》

承担课题：浙江省自然科学基金探索青年，2025/01-2027/12，在研，主持

学术研究：

1)     Modified Scattering for the One-Dimensional Schrödinger Equation with a Subcritical Dissipative Nonlinearity, Journal of Dynamics and Differential Equations, (2025) 37:577-601. (With Ting Zhang)

2)     Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime, Nonlinearity, 36 (2023), 6324. (With Ting Zhang)

3)     Local well-posedness and finite time blowup for fourth-order Schrödinger equation with complex coefficient, Discrete & Continuous Dynamical Systems - B, 27 (2022), no. 5, 2721-2757. (with Ting Zhang)

4)     Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation, Journal of Differential Equations, 296 (2021), no. 25, 335-368. (with Ting Zhang)

5)     Global solutions for H^s-critical nonlinear biharmonic Schrödinger equation, Z. Angew. Math. Phys. 72 (2021), 177. (with Ting Zhang)

6)     The Cauchy problem for the fourth-order Schrödinger equation in H^s, Journal of Mathematical Physics, 62 (2021), no. 7, 071501 (with Ting Zhang)