| 代表性论文 |
|---|
| 1.L. Du, S-Y Ha, J. Yu and X. Zhou, Stochastic Cucker-Smale model in a harmonic field, preprint. |
| 2. L. Du and S-Y Ha, Emergent Dynamics of the Kinetic Thermodynamic Cucker-Smale model in a harmonic field, preprint. |
| 3. H. Cho, L. Du* and S-Y Ha, Emergence of periodically rotating one-point cluster in thermodynamic Cucker-Smale ensemble, preprint. |
| 4. L. Du, M.Yang, Pointwise long time behavior for the mixed damped nonlinear wave equation in R^n_+, To appear in Networks and Heterogeneous Media, (2020). |
| 5. L. Du, C. Ren, Pointwise wave behavior of the initial-boundary value problem for the nonlinear damped wave equation in R^n_+, Discrete and Cont. Dynam. Systems-B, 24(7)2019, 3265-3280. |
| 6. L. Du, Initial-boundary value problem of Euler equations with damping in R^n_+, Nonlinear analysis, 176(2018), 157-177. |
| 7. L. Du, Long time behavior for the visco-elastic damped wave equation in R^n_+ and the boundary effect, Networks and Heterogeneous Media, 13(4)(2018), 549-565. |
| 8. L. Du, H. Wang, Pointwise wave behavior of the Navier-Stokes equations in half space, Discrete and Cont. Dynam. Systems-A, 38(3)(2018), 1349-1363. |
| 9. L. Du, Z. Wu, Solving the non-isentropic Navier-Stokes equations in odd space dimensions: The Green function method, J. Math. Phys., 58 (2017), no. 10，101516. |
| 10. L. Du, Splitting scheme for the stability of strong shock profile, J. Differential Equations, 261(7)(2016), 4055-4072. |
| 11. L. Du, Characteristic half space problem for the Broadwell model, Netw. Heterog. Media, (9)(2014), 97-110. |
| 12. S. Deng, L. Du and S. Yu, Nonlinear stability of Broadwell model with Maxwell diffuse boundary condition, Kinet. Relat. Models, 6(4)(2013),865-882. |
| 13.L. Du and M. Wang, Hopf bifurcation analysis in the 1-D Lengyel-Epstein reaction-diffusion model, J. Math. Anal. Appl., 2(2010), 473-485. |
| 科研项目 |
|---|
| 1. 国家自然科学基金青年基金, 12001097, 两类流体模型初边值问题解的长时间渐近行为, 2021/1-2023/12, 24万, 主持。 |
| 2.上海市自然科学基金, 18ZR1401300, 带阻尼项的一类高维系统初边值问题解长时间行为的逐点估计，2018/6-2021/5, 20万, 主持。 |
| 3. 国家自然科学基金数学天元基金, 11526049, 一类守恒系统大激波长时间性态的研究，2016/01-2016/12, 3万, 主持。 |
| 主讲课程 |
|---|
| 研究生：二阶椭圆型方程 |
| 本科生：高等数学，线性代数，概率论与数理统计 |
